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Finding the Fourth Proportional to 422,834.55, 634,154.76 and 252,104.57

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Solution

The fourth proportional to 422,834.55, 634,154.76 and 252,104.57 is: 378,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,834.55 : 634,154.76 = 252,104.57 : x
  2. Step 2: Convert to fraction form
    422,834.55/634,154.76 = 252,104.57/x
  3. Step 3: Cross multiply
    422,834.55x = 634,154.76 × 252,104.57
  4. Step 4: Simplify right side
    422,834.55x = 159,873,311,497.87
  5. Step 5: Solve for x
    x = 159,873,311,497.87/422,834.55
  6. Step 6: Final answer
    x = 378,098.98

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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.