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Finding the Fourth Proportional to 399,192, 550,884.96 and 220,344

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Solution

The fourth proportional to 399,192, 550,884.96 and 220,344 is: 304,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,192 : 550,884.96 = 220,344 : x
  2. Step 2: Convert to fraction form
    399,192/550,884.96 = 220,344/x
  3. Step 3: Cross multiply
    399,192x = 550,884.96 × 220,344
  4. Step 4: Simplify right side
    399,192x = 121,384,195,626.24
  5. Step 5: Solve for x
    x = 121,384,195,626.24/399,192
  6. Step 6: Final answer
    x = 304,074.72

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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.