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Finding the Fourth Proportional to 321,171.48, 443,199.20 and 177,922.98

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Solution

The fourth proportional to 321,171.48, 443,199.20 and 177,922.98 is: 245,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,171.48 : 443,199.20 = 177,922.98 : x
  2. Step 2: Convert to fraction form
    321,171.48/443,199.20 = 177,922.98/x
  3. Step 3: Cross multiply
    321,171.48x = 443,199.20 × 177,922.98
  4. Step 4: Simplify right side
    321,171.48x = 78,855,321,508.00
  5. Step 5: Solve for x
    x = 78,855,321,508.00/321,171.48
  6. Step 6: Final answer
    x = 245,524.05

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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.