The whole Proverb is the following, and the exact English words used do depend on which translation of the Bible that you use. But basically, the meaning is the same.
"Trust in the LORD with all thine heart; and lean not unto thine own understanding."
If you post only half of the Proverb, as you have done, rather than posting the whole thing, and also without considering the whole Proverb and the context surrounding it, then it might cause a person to want to interpret that it means something other than that which are concerns of faith and salvation, such as you have. The Proverb has nothing to do with the material things of this world that you mention.
Please see the following site for more information.
Proverbs Chapter 3
The following is a quote from that same site.