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Finding the Fourth Proportional to 321,862.10, 482,793.15 and 85,228.70

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Solution

The fourth proportional to 321,862.10, 482,793.15 and 85,228.70 is: 127,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,862.10 : 482,793.15 = 85,228.70 : x
  2. Step 2: Convert to fraction form
    321,862.10/482,793.15 = 85,228.70/x
  3. Step 3: Cross multiply
    321,862.10x = 482,793.15 × 85,228.70
  4. Step 4: Simplify right side
    321,862.10x = 41,147,832,543.41
  5. Step 5: Solve for x
    x = 41,147,832,543.41/321,862.10
  6. Step 6: Final answer
    x = 127,843.05

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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.