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Finding the Fourth Proportional to 275,424.30, 413,233.65 and 265,704.30

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Solution

The fourth proportional to 275,424.30, 413,233.65 and 265,704.30 is: 398,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,424.30 : 413,233.65 = 265,704.30 : x
  2. Step 2: Convert to fraction form
    275,424.30/413,233.65 = 265,704.30/x
  3. Step 3: Cross multiply
    275,424.30x = 413,233.65 × 265,704.30
  4. Step 4: Simplify right side
    275,424.30x = 109,797,957,709.70
  5. Step 5: Solve for x
    x = 109,797,957,709.70/275,424.30
  6. Step 6: Final answer
    x = 398,650.22

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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.