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Finding the Fourth Proportional to 275,401.76, 413,102.63 and 75,743.24

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Solution

The fourth proportional to 275,401.76, 413,102.63 and 75,743.24 is: 113,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,401.76 : 413,102.63 = 75,743.24 : x
  2. Step 2: Convert to fraction form
    275,401.76/413,102.63 = 75,743.24/x
  3. Step 3: Cross multiply
    275,401.76x = 413,102.63 × 75,743.24
  4. Step 4: Simplify right side
    275,401.76x = 31,289,729,772.57
  5. Step 5: Solve for x
    x = 31,289,729,772.57/275,401.76
  6. Step 6: Final answer
    x = 113,614.85

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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.