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Finding the Fourth Proportional to 387,781.89, 582,217.79 and 198,378.12

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Solution

The fourth proportional to 387,781.89, 582,217.79 and 198,378.12 is: 297,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,781.89 : 582,217.79 = 198,378.12 : x
  2. Step 2: Convert to fraction form
    387,781.89/582,217.79 = 198,378.12/x
  3. Step 3: Cross multiply
    387,781.89x = 582,217.79 × 198,378.12
  4. Step 4: Simplify right side
    387,781.89x = 115,499,269,618.86
  5. Step 5: Solve for x
    x = 115,499,269,618.86/387,781.89
  6. Step 6: Final answer
    x = 297,845.96

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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.