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Finding the Fourth Proportional to 283,710.71, 391,520.68 and 156,388.43

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Solution

The fourth proportional to 283,710.71, 391,520.68 and 156,388.43 is: 215,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,710.71 : 391,520.68 = 156,388.43 : x
  2. Step 2: Convert to fraction form
    283,710.71/391,520.68 = 156,388.43/x
  3. Step 3: Cross multiply
    283,710.71x = 391,520.68 × 156,388.43
  4. Step 4: Simplify right side
    283,710.71x = 61,229,302,109.16
  5. Step 5: Solve for x
    x = 61,229,302,109.16/283,710.71
  6. Step 6: Final answer
    x = 215,815.97

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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.