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Finding the Fourth Proportional to 486,766.16, 728,956.92 and 402,007.76

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Solution

The fourth proportional to 486,766.16, 728,956.92 and 402,007.76 is: 602,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,766.16 : 728,956.92 = 402,007.76 : x
  2. Step 2: Convert to fraction form
    486,766.16/728,956.92 = 402,007.76/x
  3. Step 3: Cross multiply
    486,766.16x = 728,956.92 × 402,007.76
  4. Step 4: Simplify right side
    486,766.16x = 293,046,338,545.70
  5. Step 5: Solve for x
    x = 293,046,338,545.70/486,766.16
  6. Step 6: Final answer
    x = 602,026.93

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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.