Getting married at a young age doesn't lead to poverty. Getting pregnant and having to raise a kid at a young age leads you to poverty especially if you have too many of them or the parents themselves doesn't have the financial capacity to raise a kid properly. I know of people who got married early and are still making profit.
It does not lead at all and I must say anyone who thinks that, is obviously just delusional. I got married at an early age, I was doing pretty well for myself, I needed to concentrate on things of life and be able to grow pretty fast and there is no way I can easily achieve that being a bachelor, and having a lot of ladies flocking around, so the best was just to get married and it has helped me to stay focus over the years, achieve so many things I did not even think I could achieve pretty fast. This is a jet age though, and as long as you both understood the decisions you are making without nothing or no one having to force you and you can easily cater for yourselves, then, I see no problem anywhere.