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Finding the Fourth Proportional to 283,989.20, 391,898.76 and 156,664.76

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Solution

The fourth proportional to 283,989.20, 391,898.76 and 156,664.76 is: 216,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,989.20 : 391,898.76 = 156,664.76 : x
  2. Step 2: Convert to fraction form
    283,989.20/391,898.76 = 156,664.76/x
  3. Step 3: Cross multiply
    283,989.20x = 391,898.76 × 156,664.76
  4. Step 4: Simplify right side
    283,989.20x = 61,396,725,179.70
  5. Step 5: Solve for x
    x = 61,396,725,179.70/283,989.20
  6. Step 6: Final answer
    x = 216,193.87

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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.