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Finding the Fourth Proportional to 331,356.20, 497,034.30 and 82,038.20

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Solution

The fourth proportional to 331,356.20, 497,034.30 and 82,038.20 is: 123,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,356.20 : 497,034.30 = 82,038.20 : x
  2. Step 2: Convert to fraction form
    331,356.20/497,034.30 = 82,038.20/x
  3. Step 3: Cross multiply
    331,356.20x = 497,034.30 × 82,038.20
  4. Step 4: Simplify right side
    331,356.20x = 40,775,799,310.26
  5. Step 5: Solve for x
    x = 40,775,799,310.26/331,356.20
  6. Step 6: Final answer
    x = 123,057.30

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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.