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Finding the Fourth Proportional to 511,784.68, 766,648.92 and 254,843.17

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Solution

The fourth proportional to 511,784.68, 766,648.92 and 254,843.17 is: 381,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,784.68 : 766,648.92 = 254,843.17 : x
  2. Step 2: Convert to fraction form
    511,784.68/766,648.92 = 254,843.17/x
  3. Step 3: Cross multiply
    511,784.68x = 766,648.92 × 254,843.17
  4. Step 4: Simplify right side
    511,784.68x = 195,375,241,049.88
  5. Step 5: Solve for x
    x = 195,375,241,049.88/511,784.68
  6. Step 6: Final answer
    x = 381,752.81

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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.