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Finding the Fourth Proportional to 321,369.72, 443,489.44 and 176,175.24

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Solution

The fourth proportional to 321,369.72, 443,489.44 and 176,175.24 is: 243,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,369.72 : 443,489.44 = 176,175.24 : x
  2. Step 2: Convert to fraction form
    321,369.72/443,489.44 = 176,175.24/x
  3. Step 3: Cross multiply
    321,369.72x = 443,489.44 × 176,175.24
  4. Step 4: Simplify right side
    321,369.72x = 78,131,858,529.47
  5. Step 5: Solve for x
    x = 78,131,858,529.47/321,369.72
  6. Step 6: Final answer
    x = 243,121.41

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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.