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Finding the Fourth Proportional to 220,384, 304,131 and 119,782

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Solution

The fourth proportional to 220,384, 304,131 and 119,782 is: 165,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,384 : 304,131 = 119,782 : x
  2. Step 2: Convert to fraction form
    220,384/304,131 = 119,782/x
  3. Step 3: Cross multiply
    220,384x = 304,131 × 119,782
  4. Step 4: Simplify right side
    220,384x = 36,429,419,442
  5. Step 5: Solve for x
    x = 36,429,419,442/220,384
  6. Step 6: Final answer
    x = 165,299.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.