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Finding the Fourth Proportional to 278,794.64, 418,142.60 and 126,956.92

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Solution

The fourth proportional to 278,794.64, 418,142.60 and 126,956.92 is: 190,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,794.64 : 418,142.60 = 126,956.92 : x
  2. Step 2: Convert to fraction form
    278,794.64/418,142.60 = 126,956.92/x
  3. Step 3: Cross multiply
    278,794.64x = 418,142.60 × 126,956.92
  4. Step 4: Simplify right side
    278,794.64x = 53,086,096,616.79
  5. Step 5: Solve for x
    x = 53,086,096,616.79/278,794.64
  6. Step 6: Final answer
    x = 190,412.90

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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.