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Finding the Fourth Proportional to 428,774.10, 591,744.63 and 237,849

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Solution

The fourth proportional to 428,774.10, 591,744.63 and 237,849 is: 328,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,774.10 : 591,744.63 = 237,849 : x
  2. Step 2: Convert to fraction form
    428,774.10/591,744.63 = 237,849/x
  3. Step 3: Cross multiply
    428,774.10x = 591,744.63 × 237,849
  4. Step 4: Simplify right side
    428,774.10x = 140,745,868,500.87
  5. Step 5: Solve for x
    x = 140,745,868,500.87/428,774.10
  6. Step 6: Final answer
    x = 328,251.80

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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.