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Finding the Fourth Proportional to 275,207.70, 412,811.55 and 199,974.90

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Solution

The fourth proportional to 275,207.70, 412,811.55 and 199,974.90 is: 299,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,207.70 : 412,811.55 = 199,974.90 : x
  2. Step 2: Convert to fraction form
    275,207.70/412,811.55 = 199,974.90/x
  3. Step 3: Cross multiply
    275,207.70x = 412,811.55 × 199,974.90
  4. Step 4: Simplify right side
    275,207.70x = 82,551,948,430.10
  5. Step 5: Solve for x
    x = 82,551,948,430.10/275,207.70
  6. Step 6: Final answer
    x = 299,962.35

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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.