I am eight letters long - "12345678"
My 1234 is an atmospheric condition.
My 34567 supports a plant.
My 4567 is too appropriate.
My 45 is a friendly thank-you.
My 678 is a man's name.
What is the four-digit number in which the first digit is one-third the second, the third is the sum of the first two, and the last is three times the second?