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Finding the Fourth Proportional to 321,712.30, 443,963.49 and 178,472.34

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Solution

The fourth proportional to 321,712.30, 443,963.49 and 178,472.34 is: 246,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,712.30 : 443,963.49 = 178,472.34 : x
  2. Step 2: Convert to fraction form
    321,712.30/443,963.49 = 178,472.34/x
  3. Step 3: Cross multiply
    321,712.30x = 443,963.49 × 178,472.34
  4. Step 4: Simplify right side
    321,712.30x = 79,235,202,934.87
  5. Step 5: Solve for x
    x = 79,235,202,934.87/321,712.30
  6. Step 6: Final answer
    x = 246,292.12

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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.