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Finding the Fourth Proportional to 419,542.45, 628,892.33 and 135,023.92

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Solution

The fourth proportional to 419,542.45, 628,892.33 and 135,023.92 is: 202,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,542.45 : 628,892.33 = 135,023.92 : x
  2. Step 2: Convert to fraction form
    419,542.45/628,892.33 = 135,023.92/x
  3. Step 3: Cross multiply
    419,542.45x = 628,892.33 × 135,023.92
  4. Step 4: Simplify right side
    419,542.45x = 84,915,505,407.18
  5. Step 5: Solve for x
    x = 84,915,505,407.18/419,542.45
  6. Step 6: Final answer
    x = 202,400.27

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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.