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Finding the Fourth Proportional to 263,402.40, 396,025.20 and 257,872.80

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Solution

The fourth proportional to 263,402.40, 396,025.20 and 257,872.80 is: 387,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,402.40 : 396,025.20 = 257,872.80 : x
  2. Step 2: Convert to fraction form
    263,402.40/396,025.20 = 257,872.80/x
  3. Step 3: Cross multiply
    263,402.40x = 396,025.20 × 257,872.80
  4. Step 4: Simplify right side
    263,402.40x = 102,124,127,194.56
  5. Step 5: Solve for x
    x = 102,124,127,194.56/263,402.40
  6. Step 6: Final answer
    x = 387,711.45

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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.