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Finding the Fourth Proportional to 720,981,713.20, 1,081,472,569.80 and 478,644,617.20

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Solution

The fourth proportional to 720,981,713.20, 1,081,472,569.80 and 478,644,617.20 is: 717,966,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,981,713.20 : 1,081,472,569.80 = 478,644,617.20 : x
  2. Step 2: Convert to fraction form
    720,981,713.20/1,081,472,569.80 = 478,644,617.20/x
  3. Step 3: Cross multiply
    720,981,713.20x = 1,081,472,569.80 × 478,644,617.20
  4. Step 4: Simplify right side
    720,981,713.20x = 517,641,024,184,221,248
  5. Step 5: Solve for x
    x = 517,641,024,184,221,248/720,981,713.20
  6. Step 6: Final answer
    x = 717,966,925.80

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1.5x scale

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.