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Finding the Fourth Proportional to 283,695.75, 391,500.14 and 156,374.08

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Solution

The fourth proportional to 283,695.75, 391,500.14 and 156,374.08 is: 215,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,695.75 : 391,500.14 = 156,374.08 : x
  2. Step 2: Convert to fraction form
    283,695.75/391,500.14 = 156,374.08/x
  3. Step 3: Cross multiply
    283,695.75x = 391,500.14 × 156,374.08
  4. Step 4: Simplify right side
    283,695.75x = 61,220,472,451.75
  5. Step 5: Solve for x
    x = 61,220,472,451.75/283,695.75
  6. Step 6: Final answer
    x = 215,796.23

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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.