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Finding the Fourth Proportional to 547,780.68, 755,932.14 and 306,104.88

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Solution

The fourth proportional to 547,780.68, 755,932.14 and 306,104.88 is: 422,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,780.68 : 755,932.14 = 306,104.88 : x
  2. Step 2: Convert to fraction form
    547,780.68/755,932.14 = 306,104.88/x
  3. Step 3: Cross multiply
    547,780.68x = 755,932.14 × 306,104.88
  4. Step 4: Simplify right side
    547,780.68x = 231,394,517,002.84
  5. Step 5: Solve for x
    x = 231,394,517,002.84/547,780.68
  6. Step 6: Final answer
    x = 422,421.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.