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Finding the Fourth Proportional to 321,524.40, 443,682.05 and 178,279.14

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Solution

The fourth proportional to 321,524.40, 443,682.05 and 178,279.14 is: 246,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,524.40 : 443,682.05 = 178,279.14 : x
  2. Step 2: Convert to fraction form
    321,524.40/443,682.05 = 178,279.14/x
  3. Step 3: Cross multiply
    321,524.40x = 443,682.05 × 178,279.14
  4. Step 4: Simplify right side
    321,524.40x = 79,099,253,416.04
  5. Step 5: Solve for x
    x = 79,099,253,416.04/321,524.40
  6. Step 6: Final answer
    x = 246,013.22

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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.