Finding the Fourth Proportional to 280,471,480.20, 420,707,220.30 and 177,159,349.80
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Solution
The fourth proportional to 280,471,480.20, 420,707,220.30 and 177,159,349.80 is: 265,739,024.70
Step by Step Solution
- Step 1: Write the proportion equation
280,471,480.20 : 420,707,220.30 = 177,159,349.80 : x - Step 2: Convert to fraction form
280,471,480.20/420,707,220.30 = 177,159,349.80/x - Step 3: Cross multiply
280,471,480.20x = 420,707,220.30 × 177,159,349.80 - Step 4: Simplify right side
280,471,480.20x = 74,532,217,604,513,376 - Step 5: Solve for x
x = 74,532,217,604,513,376/280,471,480.20 - Step 6: Final answer
x = 265,739,024.70
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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.