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Finding the Fourth Proportional to 331,807.25, 497,712.70 and 82,489.25

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Solution

The fourth proportional to 331,807.25, 497,712.70 and 82,489.25 is: 123,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,807.25 : 497,712.70 = 82,489.25 : x
  2. Step 2: Convert to fraction form
    331,807.25/497,712.70 = 82,489.25/x
  3. Step 3: Cross multiply
    331,807.25x = 497,712.70 × 82,489.25
  4. Step 4: Simplify right side
    331,807.25x = 41,055,947,338.48
  5. Step 5: Solve for x
    x = 41,055,947,338.48/331,807.25
  6. Step 6: Final answer
    x = 123,734.33

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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.