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Finding the Fourth Proportional to 387,906.33, 580,614.95 and 207,540.57

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Solution

The fourth proportional to 387,906.33, 580,614.95 and 207,540.57 is: 310,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,906.33 : 580,614.95 = 207,540.57 : x
  2. Step 2: Convert to fraction form
    387,906.33/580,614.95 = 207,540.57/x
  3. Step 3: Cross multiply
    387,906.33x = 580,614.95 × 207,540.57
  4. Step 4: Simplify right side
    387,906.33x = 120,501,156,635.82
  5. Step 5: Solve for x
    x = 120,501,156,635.82/387,906.33
  6. Step 6: Final answer
    x = 310,644.99

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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.