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Finding the Fourth Proportional to 321,498.73, 443,693.33 and 178,286.68

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Solution

The fourth proportional to 321,498.73, 443,693.33 and 178,286.68 is: 246,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,498.73 : 443,693.33 = 178,286.68 : x
  2. Step 2: Convert to fraction form
    321,498.73/443,693.33 = 178,286.68/x
  3. Step 3: Cross multiply
    321,498.73x = 443,693.33 × 178,286.68
  4. Step 4: Simplify right side
    321,498.73x = 79,104,610,743.84
  5. Step 5: Solve for x
    x = 79,104,610,743.84/321,498.73
  6. Step 6: Final answer
    x = 246,049.53

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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.