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Finding the Fourth Proportional to 278,690.64, 418,573.88 and 238,799.76

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Solution

The fourth proportional to 278,690.64, 418,573.88 and 238,799.76 is: 358,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,690.64 : 418,573.88 = 238,799.76 : x
  2. Step 2: Convert to fraction form
    278,690.64/418,573.88 = 238,799.76/x
  3. Step 3: Cross multiply
    278,690.64x = 418,573.88 × 238,799.76
  4. Step 4: Simplify right side
    278,690.64x = 99,955,342,086.27
  5. Step 5: Solve for x
    x = 99,955,342,086.27/278,690.64
  6. Step 6: Final answer
    x = 358,660.56

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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.