Finding the Fourth Proportional to 245,689,647,449.86, 339,022,349,232.92 and 135,809,150,309.85
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Solution
The fourth proportional to 245,689,647,449.86, 339,022,349,232.92 and 135,809,150,309.85 is: 187,400,395,837.88
Step by Step Solution
- Step 1: Write the proportion equation
245,689,647,449.86 : 339,022,349,232.92 = 135,809,150,309.85 : x - Step 2: Convert to fraction form
245,689,647,449.86/339,022,349,232.92 = 135,809,150,309.85/x - Step 3: Cross multiply
245,689,647,449.86x = 339,022,349,232.92 × 135,809,150,309.85 - Step 4: Simplify right side
245,689,647,449.86x = 46,042,337,185,372,089,352,192 - Step 5: Solve for x
x = 46,042,337,185,372,089,352,192/245,689,647,449.86 - Step 6: Final answer
x = 187,400,395,837.88
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.