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Finding the Fourth Proportional to 321,286.40, 443,377.84 and 178,048.80

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Solution

The fourth proportional to 321,286.40, 443,377.84 and 178,048.80 is: 245,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,286.40 : 443,377.84 = 178,048.80 : x
  2. Step 2: Convert to fraction form
    321,286.40/443,377.84 = 178,048.80/x
  3. Step 3: Cross multiply
    321,286.40x = 443,377.84 × 178,048.80
  4. Step 4: Simplify right side
    321,286.40x = 78,942,892,358.59
  5. Step 5: Solve for x
    x = 78,942,892,358.59/321,286.40
  6. Step 6: Final answer
    x = 245,708.79

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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.