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Finding the Fourth Proportional to 331,807.75, 497,713.45 and 82,489.75

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Solution

The fourth proportional to 331,807.75, 497,713.45 and 82,489.75 is: 123,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,807.75 : 497,713.45 = 82,489.75 : x
  2. Step 2: Convert to fraction form
    331,807.75/497,713.45 = 82,489.75/x
  3. Step 3: Cross multiply
    331,807.75x = 497,713.45 × 82,489.75
  4. Step 4: Simplify right side
    331,807.75x = 41,056,258,062.14
  5. Step 5: Solve for x
    x = 41,056,258,062.14/331,807.75
  6. Step 6: Final answer
    x = 123,735.08

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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.