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Finding the Fourth Proportional to 263,401.40, 396,023.70 and 257,871.80

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Solution

The fourth proportional to 263,401.40, 396,023.70 and 257,871.80 is: 387,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,401.40 : 396,023.70 = 257,871.80 : x
  2. Step 2: Convert to fraction form
    263,401.40/396,023.70 = 257,871.80/x
  3. Step 3: Cross multiply
    263,401.40x = 396,023.70 × 257,871.80
  4. Step 4: Simplify right side
    263,401.40x = 102,123,344,361.66
  5. Step 5: Solve for x
    x = 102,123,344,361.66/263,401.40
  6. Step 6: Final answer
    x = 387,709.95

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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.