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Finding the Fourth Proportional to 257,760.56, 386,923.70 and 204,793.01

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Solution

The fourth proportional to 257,760.56, 386,923.70 and 204,793.01 is: 307,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,760.56 : 386,923.70 = 204,793.01 : x
  2. Step 2: Convert to fraction form
    257,760.56/386,923.70 = 204,793.01/x
  3. Step 3: Cross multiply
    257,760.56x = 386,923.70 × 204,793.01
  4. Step 4: Simplify right side
    257,760.56x = 79,239,269,191.66
  5. Step 5: Solve for x
    x = 79,239,269,191.66/257,760.56
  6. Step 6: Final answer
    x = 307,414.25

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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.