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Finding the Fourth Proportional to 617,043.20, 925,680.67 and 280,107.50

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Solution

The fourth proportional to 617,043.20, 925,680.67 and 280,107.50 is: 420,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,043.20 : 925,680.67 = 280,107.50 : x
  2. Step 2: Convert to fraction form
    617,043.20/925,680.67 = 280,107.50/x
  3. Step 3: Cross multiply
    617,043.20x = 925,680.67 × 280,107.50
  4. Step 4: Simplify right side
    617,043.20x = 259,290,098,272.03
  5. Step 5: Solve for x
    x = 259,290,098,272.03/617,043.20
  6. Step 6: Final answer
    x = 420,213.85

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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.