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Finding the Fourth Proportional to 278,876.60, 418,314.90 and 91,863.80

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Solution

The fourth proportional to 278,876.60, 418,314.90 and 91,863.80 is: 137,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,876.60 : 418,314.90 = 91,863.80 : x
  2. Step 2: Convert to fraction form
    278,876.60/418,314.90 = 91,863.80/x
  3. Step 3: Cross multiply
    278,876.60x = 418,314.90 × 91,863.80
  4. Step 4: Simplify right side
    278,876.60x = 38,427,996,310.62
  5. Step 5: Solve for x
    x = 38,427,996,310.62/278,876.60
  6. Step 6: Final answer
    x = 137,795.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.