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Finding the Fourth Proportional to 422,095.75, 632,508.02 and 253,431.57

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Solution

The fourth proportional to 422,095.75, 632,508.02 and 253,431.57 is: 379,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,095.75 : 632,508.02 = 253,431.57 : x
  2. Step 2: Convert to fraction form
    422,095.75/632,508.02 = 253,431.57/x
  3. Step 3: Cross multiply
    422,095.75x = 632,508.02 × 253,431.57
  4. Step 4: Simplify right side
    422,095.75x = 160,297,500,546.19
  5. Step 5: Solve for x
    x = 160,297,500,546.19/422,095.75
  6. Step 6: Final answer
    x = 379,765.73

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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.