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Finding the Fourth Proportional to 331,433.40, 497,149.56 and 82,115.40

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Solution

The fourth proportional to 331,433.40, 497,149.56 and 82,115.40 is: 123,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,433.40 : 497,149.56 = 82,115.40 : x
  2. Step 2: Convert to fraction form
    331,433.40/497,149.56 = 82,115.40/x
  3. Step 3: Cross multiply
    331,433.40x = 497,149.56 × 82,115.40
  4. Step 4: Simplify right side
    331,433.40x = 40,823,634,979.22
  5. Step 5: Solve for x
    x = 40,823,634,979.22/331,433.40
  6. Step 6: Final answer
    x = 123,172.97

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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.