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Finding the Fourth Proportional to 321,563.71, 443,755.42 and 178,324.12

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Solution

The fourth proportional to 321,563.71, 443,755.42 and 178,324.12 is: 246,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,563.71 : 443,755.42 = 178,324.12 : x
  2. Step 2: Convert to fraction form
    321,563.71/443,755.42 = 178,324.12/x
  3. Step 3: Cross multiply
    321,563.71x = 443,755.42 × 178,324.12
  4. Step 4: Simplify right side
    321,563.71x = 79,132,294,766.73
  5. Step 5: Solve for x
    x = 79,132,294,766.73/321,563.71
  6. Step 6: Final answer
    x = 246,085.90

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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.