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Finding the Fourth Proportional to 321,145.27, 443,174.36 and 177,906.49

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Solution

The fourth proportional to 321,145.27, 443,174.36 and 177,906.49 is: 245,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,145.27 : 443,174.36 = 177,906.49 : x
  2. Step 2: Convert to fraction form
    321,145.27/443,174.36 = 177,906.49/x
  3. Step 3: Cross multiply
    321,145.27x = 443,174.36 × 177,906.49
  4. Step 4: Simplify right side
    321,145.27x = 78,843,594,845.60
  5. Step 5: Solve for x
    x = 78,843,594,845.60/321,145.27
  6. Step 6: Final answer
    x = 245,507.57

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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.