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Finding the Fourth Proportional to 278,707.26, 418,069.56 and 132,615.15

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Solution

The fourth proportional to 278,707.26, 418,069.56 and 132,615.15 is: 198,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,707.26 : 418,069.56 = 132,615.15 : x
  2. Step 2: Convert to fraction form
    278,707.26/418,069.56 = 132,615.15/x
  3. Step 3: Cross multiply
    278,707.26x = 418,069.56 × 132,615.15
  4. Step 4: Simplify right side
    278,707.26x = 55,442,357,409.83
  5. Step 5: Solve for x
    x = 55,442,357,409.83/278,707.26
  6. Step 6: Final answer
    x = 198,926.85

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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.