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Finding the Fourth Proportional to 321,591.26, 443,823.20 and 178,397.44

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Solution

The fourth proportional to 321,591.26, 443,823.20 and 178,397.44 is: 246,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,591.26 : 443,823.20 = 178,397.44 : x
  2. Step 2: Convert to fraction form
    321,591.26/443,823.20 = 178,397.44/x
  3. Step 3: Cross multiply
    321,591.26x = 443,823.20 × 178,397.44
  4. Step 4: Simplify right side
    321,591.26x = 79,176,921,360.05
  5. Step 5: Solve for x
    x = 79,176,921,360.05/321,591.26
  6. Step 6: Final answer
    x = 246,203.58

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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.