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Finding the Fourth Proportional to 278,672.64, 418,546.80 and 238,781.76

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Solution

The fourth proportional to 278,672.64, 418,546.80 and 238,781.76 is: 358,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,672.64 : 418,546.80 = 238,781.76 : x
  2. Step 2: Convert to fraction form
    278,672.64/418,546.80 = 238,781.76/x
  3. Step 3: Cross multiply
    278,672.64x = 418,546.80 × 238,781.76
  4. Step 4: Simplify right side
    278,672.64x = 99,941,341,546.37
  5. Step 5: Solve for x
    x = 99,941,341,546.37/278,672.64
  6. Step 6: Final answer
    x = 358,633.49

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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.