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Finding the Fourth Proportional to 331,649.86, 497,474.79 and 82,331.86

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Solution

The fourth proportional to 331,649.86, 497,474.79 and 82,331.86 is: 123,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,649.86 : 497,474.79 = 82,331.86 : x
  2. Step 2: Convert to fraction form
    331,649.86/497,474.79 = 82,331.86/x
  3. Step 3: Cross multiply
    331,649.86x = 497,474.79 × 82,331.86
  4. Step 4: Simplify right side
    331,649.86x = 40,958,024,763.81
  5. Step 5: Solve for x
    x = 40,958,024,763.81/331,649.86
  6. Step 6: Final answer
    x = 123,497.79

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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.