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Finding the Fourth Proportional to 321,620.16, 443,824.48 and 178,393.53

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Solution

The fourth proportional to 321,620.16, 443,824.48 and 178,393.53 is: 246,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,620.16 : 443,824.48 = 178,393.53 : x
  2. Step 2: Convert to fraction form
    321,620.16/443,824.48 = 178,393.53/x
  3. Step 3: Cross multiply
    321,620.16x = 443,824.48 × 178,393.53
  4. Step 4: Simplify right side
    321,620.16x = 79,175,415,687.61
  5. Step 5: Solve for x
    x = 79,175,415,687.61/321,620.16
  6. Step 6: Final answer
    x = 246,176.78

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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.