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Finding the Fourth Proportional to 278,988.44, 418,474.92 and 101,498.72

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Solution

The fourth proportional to 278,988.44, 418,474.92 and 101,498.72 is: 152,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,988.44 : 418,474.92 = 101,498.72 : x
  2. Step 2: Convert to fraction form
    278,988.44/418,474.92 = 101,498.72/x
  3. Step 3: Cross multiply
    278,988.44x = 418,474.92 × 101,498.72
  4. Step 4: Simplify right side
    278,988.44x = 42,474,668,732.10
  5. Step 5: Solve for x
    x = 42,474,668,732.10/278,988.44
  6. Step 6: Final answer
    x = 152,245.26

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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.