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Finding the Fourth Proportional to 383,902.60, 576,113.10 and 215,422.60

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Solution

The fourth proportional to 383,902.60, 576,113.10 and 215,422.60 is: 323,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,902.60 : 576,113.10 = 215,422.60 : x
  2. Step 2: Convert to fraction form
    383,902.60/576,113.10 = 215,422.60/x
  3. Step 3: Cross multiply
    383,902.60x = 576,113.10 × 215,422.60
  4. Step 4: Simplify right side
    383,902.60x = 124,107,781,896.06
  5. Step 5: Solve for x
    x = 124,107,781,896.06/383,902.60
  6. Step 6: Final answer
    x = 323,279.35

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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.