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Finding the Fourth Proportional to 428,038.70, 641,508.39 and 161,481.60

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Solution

The fourth proportional to 428,038.70, 641,508.39 and 161,481.60 is: 242,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,038.70 : 641,508.39 = 161,481.60 : x
  2. Step 2: Convert to fraction form
    428,038.70/641,508.39 = 161,481.60/x
  3. Step 3: Cross multiply
    428,038.70x = 641,508.39 × 161,481.60
  4. Step 4: Simplify right side
    428,038.70x = 103,591,801,230.62
  5. Step 5: Solve for x
    x = 103,591,801,230.62/428,038.70
  6. Step 6: Final answer
    x = 242,015.04

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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.