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Finding the Fourth Proportional to 278,706.76, 418,068.82 and 132,614.64

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Solution

The fourth proportional to 278,706.76, 418,068.82 and 132,614.64 is: 198,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,706.76 : 418,068.82 = 132,614.64 : x
  2. Step 2: Convert to fraction form
    278,706.76/418,068.82 = 132,614.64/x
  3. Step 3: Cross multiply
    278,706.76x = 418,068.82 × 132,614.64
  4. Step 4: Simplify right side
    278,706.76x = 55,442,046,059.52
  5. Step 5: Solve for x
    x = 55,442,046,059.52/278,706.76
  6. Step 6: Final answer
    x = 198,926.09

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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.