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Finding the Fourth Proportional to 425,400.32, 638,245.38 and 267,443.84

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Solution

The fourth proportional to 425,400.32, 638,245.38 and 267,443.84 is: 401,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,400.32 : 638,245.38 = 267,443.84 : x
  2. Step 2: Convert to fraction form
    425,400.32/638,245.38 = 267,443.84/x
  3. Step 3: Cross multiply
    425,400.32x = 638,245.38 × 267,443.84
  4. Step 4: Simplify right side
    425,400.32x = 170,694,795,289.46
  5. Step 5: Solve for x
    x = 170,694,795,289.46/425,400.32
  6. Step 6: Final answer
    x = 401,256.86

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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.