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Finding the Fourth Proportional to 422,079, 633,118.50 and 126,591

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Solution

The fourth proportional to 422,079, 633,118.50 and 126,591 is: 189,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,079 : 633,118.50 = 126,591 : x
  2. Step 2: Convert to fraction form
    422,079/633,118.50 = 126,591/x
  3. Step 3: Cross multiply
    422,079x = 633,118.50 × 126,591
  4. Step 4: Simplify right side
    422,079x = 80,147,104,033.50
  5. Step 5: Solve for x
    x = 80,147,104,033.50/422,079
  6. Step 6: Final answer
    x = 189,886.50

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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.