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Finding the Fourth Proportional to 402,708.90, 603,686.10 and 136,282.90

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Solution

The fourth proportional to 402,708.90, 603,686.10 and 136,282.90 is: 204,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,708.90 : 603,686.10 = 136,282.90 : x
  2. Step 2: Convert to fraction form
    402,708.90/603,686.10 = 136,282.90/x
  3. Step 3: Cross multiply
    402,708.90x = 603,686.10 × 136,282.90
  4. Step 4: Simplify right side
    402,708.90x = 82,272,092,397.69
  5. Step 5: Solve for x
    x = 82,272,092,397.69/402,708.90
  6. Step 6: Final answer
    x = 204,296.68

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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.