Yes, there is a direct correlation, In the words of St. Ambrose relating the story of the 3rd century martyr St. Lawrence:
Such gold the holy martyr Lawrence preserved for the Lord. For when the treasures of the Church were demanded from him, he promised that he would show them. On the following day he brought the poor together. When asked where the treasures were which he had promised, he pointed to the poor, saying: "These are the treasures of the Church." And truly they were treasures, in whom Christ lives, in whom there is faith in Him. So, too, the Apostle says: "We have this treasure in earthen vessels." (2 Corinthians 4:7) What greater treasures has Christ than those in whom He says He Himself lives? For thus it is written: "I was hungry and you gave Me to eat, I was thirsty and you gave Me to drink, I was a stranger and you took Me in." (Matthew 25:35) And again: "What you did to one of these, you did it unto Me." (Matthew 25:40) What better treasures has Jesus than those in which He loves to be seen?
These treasures Lawrence pointed out, and prevailed, for the persecutors could not take them away. Jehoiachim, who preserved his gold during the siege and spent it not in providing food, saw his gold carried off, and himself led into captivity. Lawrence, who preferred to spend the gold of the Church on the poor, rather than to keep it in hand for the persecutor, received the sacred crown of martyrdom for the unique and deep-sighted vigour of his meaning. Or was it perhaps said to holy Lawrence: "Thou should not spend the treasures of the Church, or sell the sacred vessels"?
On the Duties of the Clergy (Book II)
The point is, these are the treasures of the Church and they are increasing at a great rate, while worms and moths eat at the treasures many of the "1st world" Christians have stored up for themselves.
This answer is meant as a rebuttal to the the premises of your question and a counter point to the other, in my opinion, meaningless answers. The answer is yes, national prosperity abounds where Christ is made present. You just need to be calculating in terms of the right kind of prosperity.