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Finding the Fourth Proportional to 280,512.75, 420,791.13 and 93,524.25

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Solution

The fourth proportional to 280,512.75, 420,791.13 and 93,524.25 is: 140,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,512.75 : 420,791.13 = 93,524.25 : x
  2. Step 2: Convert to fraction form
    280,512.75/420,791.13 = 93,524.25/x
  3. Step 3: Cross multiply
    280,512.75x = 420,791.13 × 93,524.25
  4. Step 4: Simplify right side
    280,512.75x = 39,354,174,839.90
  5. Step 5: Solve for x
    x = 39,354,174,839.90/280,512.75
  6. Step 6: Final answer
    x = 140,293.71

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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.