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Finding the Fourth Proportional to 278,785.82, 418,179.06 and 76,383.64

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Solution

The fourth proportional to 278,785.82, 418,179.06 and 76,383.64 is: 114,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,785.82 : 418,179.06 = 76,383.64 : x
  2. Step 2: Convert to fraction form
    278,785.82/418,179.06 = 76,383.64/x
  3. Step 3: Cross multiply
    278,785.82x = 418,179.06 × 76,383.64
  4. Step 4: Simplify right side
    278,785.82x = 31,942,040,512.52
  5. Step 5: Solve for x
    x = 31,942,040,512.52/278,785.82
  6. Step 6: Final answer
    x = 114,575.56

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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.