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Finding the Fourth Proportional to 321,198.70, 443,257.77 and 177,961

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Solution

The fourth proportional to 321,198.70, 443,257.77 and 177,961 is: 245,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,198.70 : 443,257.77 = 177,961 : x
  2. Step 2: Convert to fraction form
    321,198.70/443,257.77 = 177,961/x
  3. Step 3: Cross multiply
    321,198.70x = 443,257.77 × 177,961
  4. Step 4: Simplify right side
    321,198.70x = 78,882,596,006.97
  5. Step 5: Solve for x
    x = 78,882,596,006.97/321,198.70
  6. Step 6: Final answer
    x = 245,588.15

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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.