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Finding the Fourth Proportional to 399,144, 550,819.44 and 220,296

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Solution

The fourth proportional to 399,144, 550,819.44 and 220,296 is: 304,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,144 : 550,819.44 = 220,296 : x
  2. Step 2: Convert to fraction form
    399,144/550,819.44 = 220,296/x
  3. Step 3: Cross multiply
    399,144x = 550,819.44 × 220,296
  4. Step 4: Simplify right side
    399,144x = 121,343,319,354.24
  5. Step 5: Solve for x
    x = 121,343,319,354.24/399,144
  6. Step 6: Final answer
    x = 304,008.88

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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.