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Finding the Fourth Proportional to 321,668.73, 443,956.10 and 178,474.91

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Solution

The fourth proportional to 321,668.73, 443,956.10 and 178,474.91 is: 246,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,668.73 : 443,956.10 = 178,474.91 : x
  2. Step 2: Convert to fraction form
    321,668.73/443,956.10 = 178,474.91/x
  3. Step 3: Cross multiply
    321,668.73x = 443,956.10 × 178,474.91
  4. Step 4: Simplify right side
    321,668.73x = 79,235,021,879.30
  5. Step 5: Solve for x
    x = 79,235,021,879.30/321,668.73
  6. Step 6: Final answer
    x = 246,324.91

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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.