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Finding the Fourth Proportional to 278,701.54, 418,060.98 and 132,609.43

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Solution

The fourth proportional to 278,701.54, 418,060.98 and 132,609.43 is: 198,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,701.54 : 418,060.98 = 132,609.43 : x
  2. Step 2: Convert to fraction form
    278,701.54/418,060.98 = 132,609.43/x
  3. Step 3: Cross multiply
    278,701.54x = 418,060.98 × 132,609.43
  4. Step 4: Simplify right side
    278,701.54x = 55,438,828,263.04
  5. Step 5: Solve for x
    x = 55,438,828,263.04/278,701.54
  6. Step 6: Final answer
    x = 198,918.27

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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.