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Finding the Fourth Proportional to 278,939.52, 418,341.60 and 195,446.88

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Solution

The fourth proportional to 278,939.52, 418,341.60 and 195,446.88 is: 293,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,939.52 : 418,341.60 = 195,446.88 : x
  2. Step 2: Convert to fraction form
    278,939.52/418,341.60 = 195,446.88/x
  3. Step 3: Cross multiply
    278,939.52x = 418,341.60 × 195,446.88
  4. Step 4: Simplify right side
    278,939.52x = 81,763,560,494.21
  5. Step 5: Solve for x
    x = 81,763,560,494.21/278,939.52
  6. Step 6: Final answer
    x = 293,122.90

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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.