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Finding the Fourth Proportional to 321,373.25, 443,494.31 and 176,178.78

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Solution

The fourth proportional to 321,373.25, 443,494.31 and 176,178.78 is: 243,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,373.25 : 443,494.31 = 176,178.78 : x
  2. Step 2: Convert to fraction form
    321,373.25/443,494.31 = 176,178.78/x
  3. Step 3: Cross multiply
    321,373.25x = 443,494.31 × 176,178.78
  4. Step 4: Simplify right side
    321,373.25x = 78,134,286,472.74
  5. Step 5: Solve for x
    x = 78,134,286,472.74/321,373.25
  6. Step 6: Final answer
    x = 243,126.29

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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.