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Finding the Fourth Proportional to 321,296.40, 443,391.56 and 178,058.80

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Solution

The fourth proportional to 321,296.40, 443,391.56 and 178,058.80 is: 245,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,296.40 : 443,391.56 = 178,058.80 : x
  2. Step 2: Convert to fraction form
    321,296.40/443,391.56 = 178,058.80/x
  3. Step 3: Cross multiply
    321,296.40x = 443,391.56 × 178,058.80
  4. Step 4: Simplify right side
    321,296.40x = 78,949,769,103.73
  5. Step 5: Solve for x
    x = 78,949,769,103.73/321,296.40
  6. Step 6: Final answer
    x = 245,722.54

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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.