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Finding the Fourth Proportional to 278,705.76, 418,067.31 and 132,613.65

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Solution

The fourth proportional to 278,705.76, 418,067.31 and 132,613.65 is: 198,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,705.76 : 418,067.31 = 132,613.65 : x
  2. Step 2: Convert to fraction form
    278,705.76/418,067.31 = 132,613.65/x
  3. Step 3: Cross multiply
    278,705.76x = 418,067.31 × 132,613.65
  4. Step 4: Simplify right side
    278,705.76x = 55,441,429,834.44
  5. Step 5: Solve for x
    x = 55,441,429,834.44/278,705.76
  6. Step 6: Final answer
    x = 198,924.60

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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.