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Finding the Fourth Proportional to 275,511.75, 413,267.64 and 109,299.75

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Solution

The fourth proportional to 275,511.75, 413,267.64 and 109,299.75 is: 163,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,511.75 : 413,267.64 = 109,299.75 : x
  2. Step 2: Convert to fraction form
    275,511.75/413,267.64 = 109,299.75/x
  3. Step 3: Cross multiply
    275,511.75x = 413,267.64 × 109,299.75
  4. Step 4: Simplify right side
    275,511.75x = 45,170,049,735.09
  5. Step 5: Solve for x
    x = 45,170,049,735.09/275,511.75
  6. Step 6: Final answer
    x = 163,949.63

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Similar ratio
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1.5x scale

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.