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Finding the Fourth Proportional to 321,142.39, 443,170.40 and 177,903.61

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Solution

The fourth proportional to 321,142.39, 443,170.40 and 177,903.61 is: 245,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,142.39 : 443,170.40 = 177,903.61 : x
  2. Step 2: Convert to fraction form
    321,142.39/443,170.40 = 177,903.61/x
  3. Step 3: Cross multiply
    321,142.39x = 443,170.40 × 177,903.61
  4. Step 4: Simplify right side
    321,142.39x = 78,841,614,336.73
  5. Step 5: Solve for x
    x = 78,841,614,336.73/321,142.39
  6. Step 6: Final answer
    x = 245,503.60

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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.