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Finding the Fourth Proportional to 321,253.64, 443,355.54 and 178,027.28

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Solution

The fourth proportional to 321,253.64, 443,355.54 and 178,027.28 is: 245,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,253.64 : 443,355.54 = 178,027.28 : x
  2. Step 2: Convert to fraction form
    321,253.64/443,355.54 = 178,027.28/x
  3. Step 3: Cross multiply
    321,253.64x = 443,355.54 × 178,027.28
  4. Step 4: Simplify right side
    321,253.64x = 78,929,380,859.13
  5. Step 5: Solve for x
    x = 78,929,380,859.13/321,253.64
  6. Step 6: Final answer
    x = 245,691.79

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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.