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Finding the Fourth Proportional to 321,399.48, 443,524.22 and 178,158.28

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Solution

The fourth proportional to 321,399.48, 443,524.22 and 178,158.28 is: 245,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,399.48 : 443,524.22 = 178,158.28 : x
  2. Step 2: Convert to fraction form
    321,399.48/443,524.22 = 178,158.28/x
  3. Step 3: Cross multiply
    321,399.48x = 443,524.22 × 178,158.28
  4. Step 4: Simplify right side
    321,399.48x = 79,017,512,173.54
  5. Step 5: Solve for x
    x = 79,017,512,173.54/321,399.48
  6. Step 6: Final answer
    x = 245,854.51

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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.