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Finding the Fourth Proportional to 283,717.92, 391,499.82 and 156,369

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Solution

The fourth proportional to 283,717.92, 391,499.82 and 156,369 is: 215,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,717.92 : 391,499.82 = 156,369 : x
  2. Step 2: Convert to fraction form
    283,717.92/391,499.82 = 156,369/x
  3. Step 3: Cross multiply
    283,717.92x = 391,499.82 × 156,369
  4. Step 4: Simplify right side
    283,717.92x = 61,218,435,353.58
  5. Step 5: Solve for x
    x = 61,218,435,353.58/283,717.92
  6. Step 6: Final answer
    x = 215,772.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.