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Finding the Fourth Proportional to 325,385.53, 487,998.65 and 135,847.46

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Solution

The fourth proportional to 325,385.53, 487,998.65 and 135,847.46 is: 203,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,385.53 : 487,998.65 = 135,847.46 : x
  2. Step 2: Convert to fraction form
    325,385.53/487,998.65 = 135,847.46/x
  3. Step 3: Cross multiply
    325,385.53x = 487,998.65 × 135,847.46
  4. Step 4: Simplify right side
    325,385.53x = 66,293,378,645.54
  5. Step 5: Solve for x
    x = 66,293,378,645.54/325,385.53
  6. Step 6: Final answer
    x = 203,737.94

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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.