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Finding the Fourth Proportional to 267,284.66, 400,928.43 and 80,294.90

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Solution

The fourth proportional to 267,284.66, 400,928.43 and 80,294.90 is: 120,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,284.66 : 400,928.43 = 80,294.90 : x
  2. Step 2: Convert to fraction form
    267,284.66/400,928.43 = 80,294.90/x
  3. Step 3: Cross multiply
    267,284.66x = 400,928.43 × 80,294.90
  4. Step 4: Simplify right side
    267,284.66x = 32,192,508,194.01
  5. Step 5: Solve for x
    x = 32,192,508,194.01/267,284.66
  6. Step 6: Final answer
    x = 120,442.78

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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.