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Finding the Fourth Proportional to 257,760.54, 386,923.62 and 204,792.96

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Solution

The fourth proportional to 257,760.54, 386,923.62 and 204,792.96 is: 307,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,760.54 : 386,923.62 = 204,792.96 : x
  2. Step 2: Convert to fraction form
    257,760.54/386,923.62 = 204,792.96/x
  3. Step 3: Cross multiply
    257,760.54x = 386,923.62 × 204,792.96
  4. Step 4: Simplify right side
    257,760.54x = 79,239,233,433.72
  5. Step 5: Solve for x
    x = 79,239,233,433.72/257,760.54
  6. Step 6: Final answer
    x = 307,414.13

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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.