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Finding the Fourth Proportional to 387,475.92, 580,131.18 and 209,344.68

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Solution

The fourth proportional to 387,475.92, 580,131.18 and 209,344.68 is: 313,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,475.92 : 580,131.18 = 209,344.68 : x
  2. Step 2: Convert to fraction form
    387,475.92/580,131.18 = 209,344.68/x
  3. Step 3: Cross multiply
    387,475.92x = 580,131.18 × 209,344.68
  4. Step 4: Simplify right side
    387,475.92x = 121,447,376,235.12
  5. Step 5: Solve for x
    x = 121,447,376,235.12/387,475.92
  6. Step 6: Final answer
    x = 313,432.06

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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.