Finding the Fourth Proportional to 785,482,704.52, 1,178,396,490.66 and 232,827,760.80
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Solution
The fourth proportional to 785,482,704.52, 1,178,396,490.66 and 232,827,760.80 is: 349,292,752.95
Step by Step Solution
- Step 1: Write the proportion equation
785,482,704.52 : 1,178,396,490.66 = 232,827,760.80 : x - Step 2: Convert to fraction form
785,482,704.52/1,178,396,490.66 = 232,827,760.80/x - Step 3: Cross multiply
785,482,704.52x = 1,178,396,490.66 × 232,827,760.80 - Step 4: Simplify right side
785,482,704.52x = 274,363,416,254,945,952 - Step 5: Solve for x
x = 274,363,416,254,945,952/785,482,704.52 - Step 6: Final answer
x = 349,292,752.95
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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.