Finding the Fourth Proportional to 515,102,977.08, 769,165,407.09 and 408,866,430.78
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Solution
The fourth proportional to 515,102,977.08, 769,165,407.09 and 408,866,430.78 is: 610,530,182.64
Step by Step Solution
- Step 1: Write the proportion equation
515,102,977.08 : 769,165,407.09 = 408,866,430.78 : x - Step 2: Convert to fraction form
515,102,977.08/769,165,407.09 = 408,866,430.78/x - Step 3: Cross multiply
515,102,977.08x = 769,165,407.09 × 408,866,430.78 - Step 4: Simplify right side
515,102,977.08x = 314,485,914,676,334,016 - Step 5: Solve for x
x = 314,485,914,676,334,016/515,102,977.08 - Step 6: Final answer
x = 610,530,182.64
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.