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Finding the Fourth Proportional to 422,099.89, 632,920.17 and 152,191.28

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Solution

The fourth proportional to 422,099.89, 632,920.17 and 152,191.28 is: 228,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,099.89 : 632,920.17 = 152,191.28 : x
  2. Step 2: Convert to fraction form
    422,099.89/632,920.17 = 152,191.28/x
  3. Step 3: Cross multiply
    422,099.89x = 632,920.17 × 152,191.28
  4. Step 4: Simplify right side
    422,099.89x = 96,324,930,810.12
  5. Step 5: Solve for x
    x = 96,324,930,810.12/422,099.89
  6. Step 6: Final answer
    x = 228,204.11

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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.