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Finding the Fourth Proportional to 321,650.16, 443,839.14 and 178,375.20

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Solution

The fourth proportional to 321,650.16, 443,839.14 and 178,375.20 is: 246,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,650.16 : 443,839.14 = 178,375.20 : x
  2. Step 2: Convert to fraction form
    321,650.16/443,839.14 = 178,375.20/x
  3. Step 3: Cross multiply
    321,650.16x = 443,839.14 × 178,375.20
  4. Step 4: Simplify right side
    321,650.16x = 79,169,895,365.33
  5. Step 5: Solve for x
    x = 79,169,895,365.33/321,650.16
  6. Step 6: Final answer
    x = 246,136.66

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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.