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Finding the Fourth Proportional to 422,917, 634,375.50 and 127,429

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Solution

The fourth proportional to 422,917, 634,375.50 and 127,429 is: 191,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,917 : 634,375.50 = 127,429 : x
  2. Step 2: Convert to fraction form
    422,917/634,375.50 = 127,429/x
  3. Step 3: Cross multiply
    422,917x = 634,375.50 × 127,429
  4. Step 4: Simplify right side
    422,917x = 80,837,835,589.50
  5. Step 5: Solve for x
    x = 80,837,835,589.50/422,917
  6. Step 6: Final answer
    x = 191,143.50

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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.