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Finding the Fourth Proportional to 458,115.48, 687,194.82 and 378,004.86

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Solution

The fourth proportional to 458,115.48, 687,194.82 and 378,004.86 is: 567,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,115.48 : 687,194.82 = 378,004.86 : x
  2. Step 2: Convert to fraction form
    458,115.48/687,194.82 = 378,004.86/x
  3. Step 3: Cross multiply
    458,115.48x = 687,194.82 × 378,004.86
  4. Step 4: Simplify right side
    458,115.48x = 259,762,981,726.83
  5. Step 5: Solve for x
    x = 259,762,981,726.83/458,115.48
  6. Step 6: Final answer
    x = 567,025.11

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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.