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Finding the Fourth Proportional to 321,884.50, 482,845.20 and 85,221.03

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Solution

The fourth proportional to 321,884.50, 482,845.20 and 85,221.03 is: 127,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,884.50 : 482,845.20 = 85,221.03 : x
  2. Step 2: Convert to fraction form
    321,884.50/482,845.20 = 85,221.03/x
  3. Step 3: Cross multiply
    321,884.50x = 482,845.20 × 85,221.03
  4. Step 4: Simplify right side
    321,884.50x = 41,148,565,274.56
  5. Step 5: Solve for x
    x = 41,148,565,274.56/321,884.50
  6. Step 6: Final answer
    x = 127,836.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.