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Finding the Fourth Proportional to 402,712.53, 603,691.53 and 136,286.52

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Solution

The fourth proportional to 402,712.53, 603,691.53 and 136,286.52 is: 204,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,712.53 : 603,691.53 = 136,286.52 : x
  2. Step 2: Convert to fraction form
    402,712.53/603,691.53 = 136,286.52/x
  3. Step 3: Cross multiply
    402,712.53x = 603,691.53 × 136,286.52
  4. Step 4: Simplify right side
    402,712.53x = 82,275,017,777.18
  5. Step 5: Solve for x
    x = 82,275,017,777.18/402,712.53
  6. Step 6: Final answer
    x = 204,302.11

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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.