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Finding the Fourth Proportional to 283,422.62, 391,122.20 and 156,097.92

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Solution

The fourth proportional to 283,422.62, 391,122.20 and 156,097.92 is: 215,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,422.62 : 391,122.20 = 156,097.92 : x
  2. Step 2: Convert to fraction form
    283,422.62/391,122.20 = 156,097.92/x
  3. Step 3: Cross multiply
    283,422.62x = 391,122.20 × 156,097.92
  4. Step 4: Simplify right side
    283,422.62x = 61,053,361,885.82
  5. Step 5: Solve for x
    x = 61,053,361,885.82/283,422.62
  6. Step 6: Final answer
    x = 215,414.57

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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.