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Finding the Fourth Proportional to 331,346.75, 497,020.13 and 82,028.75

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Solution

The fourth proportional to 331,346.75, 497,020.13 and 82,028.75 is: 123,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,346.75 : 497,020.13 = 82,028.75 : x
  2. Step 2: Convert to fraction form
    331,346.75/497,020.13 = 82,028.75/x
  3. Step 3: Cross multiply
    331,346.75x = 497,020.13 × 82,028.75
  4. Step 4: Simplify right side
    331,346.75x = 40,769,939,988.74
  5. Step 5: Solve for x
    x = 40,769,939,988.74/331,346.75
  6. Step 6: Final answer
    x = 123,043.13

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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.