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Finding the Fourth Proportional to 422,414.50, 633,622.56 and 102,565.02

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Solution

The fourth proportional to 422,414.50, 633,622.56 and 102,565.02 is: 153,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,414.50 : 633,622.56 = 102,565.02 : x
  2. Step 2: Convert to fraction form
    422,414.50/633,622.56 = 102,565.02/x
  3. Step 3: Cross multiply
    422,414.50x = 633,622.56 × 102,565.02
  4. Step 4: Simplify right side
    422,414.50x = 64,987,510,538.85
  5. Step 5: Solve for x
    x = 64,987,510,538.85/422,414.50
  6. Step 6: Final answer
    x = 153,847.73

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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.