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Finding the Fourth Proportional to 422,098.89, 632,918.67 and 152,190.28

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Solution

The fourth proportional to 422,098.89, 632,918.67 and 152,190.28 is: 228,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,098.89 : 632,918.67 = 152,190.28 : x
  2. Step 2: Convert to fraction form
    422,098.89/632,918.67 = 152,190.28/x
  3. Step 3: Cross multiply
    422,098.89x = 632,918.67 × 152,190.28
  4. Step 4: Simplify right side
    422,098.89x = 96,324,069,604.53
  5. Step 5: Solve for x
    x = 96,324,069,604.53/422,098.89
  6. Step 6: Final answer
    x = 228,202.61

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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.