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Finding the Fourth Proportional to 331,809.75, 497,716.45 and 82,491.75

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Solution

The fourth proportional to 331,809.75, 497,716.45 and 82,491.75 is: 123,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,809.75 : 497,716.45 = 82,491.75 : x
  2. Step 2: Convert to fraction form
    331,809.75/497,716.45 = 82,491.75/x
  3. Step 3: Cross multiply
    331,809.75x = 497,716.45 × 82,491.75
  4. Step 4: Simplify right side
    331,809.75x = 41,057,500,964.29
  5. Step 5: Solve for x
    x = 41,057,500,964.29/331,809.75
  6. Step 6: Final answer
    x = 123,738.08

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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.