Finding the Fourth Proportional to 780,024,098.10, 1,170,036,147.15 and 320,292,203.70
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Solution
The fourth proportional to 780,024,098.10, 1,170,036,147.15 and 320,292,203.70 is: 480,438,305.55
Step by Step Solution
- Step 1: Write the proportion equation
780,024,098.10 : 1,170,036,147.15 = 320,292,203.70 : x - Step 2: Convert to fraction form
780,024,098.10/1,170,036,147.15 = 320,292,203.70/x - Step 3: Cross multiply
780,024,098.10x = 1,170,036,147.15 × 320,292,203.70 - Step 4: Simplify right side
780,024,098.10x = 374,753,455,979,331,008 - Step 5: Solve for x
x = 374,753,455,979,331,008/780,024,098.10 - Step 6: Final answer
x = 480,438,305.55
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.