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Finding the Fourth Proportional to 321,712.68, 443,943.46 and 178,469.80

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Solution

The fourth proportional to 321,712.68, 443,943.46 and 178,469.80 is: 246,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,712.68 : 443,943.46 = 178,469.80 : x
  2. Step 2: Convert to fraction form
    321,712.68/443,943.46 = 178,469.80/x
  3. Step 3: Cross multiply
    321,712.68x = 443,943.46 × 178,469.80
  4. Step 4: Simplify right side
    321,712.68x = 79,230,500,517.51
  5. Step 5: Solve for x
    x = 79,230,500,517.51/321,712.68
  6. Step 6: Final answer
    x = 246,277.21

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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.