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Finding the Fourth Proportional to 263,399.40, 396,020.70 and 257,869.80

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Solution

The fourth proportional to 263,399.40, 396,020.70 and 257,869.80 is: 387,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,399.40 : 396,020.70 = 257,869.80 : x
  2. Step 2: Convert to fraction form
    263,399.40/396,020.70 = 257,869.80/x
  3. Step 3: Cross multiply
    263,399.40x = 396,020.70 × 257,869.80
  4. Step 4: Simplify right side
    263,399.40x = 102,121,778,704.86
  5. Step 5: Solve for x
    x = 102,121,778,704.86/263,399.40
  6. Step 6: Final answer
    x = 387,706.95

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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.