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Finding the Fourth Proportional to 331,807.50, 497,713.07 and 82,489.50

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Solution

The fourth proportional to 331,807.50, 497,713.07 and 82,489.50 is: 123,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,807.50 : 497,713.07 = 82,489.50 : x
  2. Step 2: Convert to fraction form
    331,807.50/497,713.07 = 82,489.50/x
  3. Step 3: Cross multiply
    331,807.50x = 497,713.07 × 82,489.50
  4. Step 4: Simplify right side
    331,807.50x = 41,056,102,493.99
  5. Step 5: Solve for x
    x = 41,056,102,493.99/331,807.50
  6. Step 6: Final answer
    x = 123,734.70

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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.