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Finding the Fourth Proportional to 331,344, 497,016 and 82,026

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Solution

The fourth proportional to 331,344, 497,016 and 82,026 is: 123,039

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,344 : 497,016 = 82,026 : x
  2. Step 2: Convert to fraction form
    331,344/497,016 = 82,026/x
  3. Step 3: Cross multiply
    331,344x = 497,016 × 82,026
  4. Step 4: Simplify right side
    331,344x = 40,768,234,416
  5. Step 5: Solve for x
    x = 40,768,234,416/331,344
  6. Step 6: Final answer
    x = 123,039

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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.