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Finding the Fourth Proportional to 511,279.68, 765,735.46 and 254,644.80

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Solution

The fourth proportional to 511,279.68, 765,735.46 and 254,644.80 is: 381,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,279.68 : 765,735.46 = 254,644.80 : x
  2. Step 2: Convert to fraction form
    511,279.68/765,735.46 = 254,644.80/x
  3. Step 3: Cross multiply
    511,279.68x = 765,735.46 × 254,644.80
  4. Step 4: Simplify right side
    511,279.68x = 194,990,551,791.38
  5. Step 5: Solve for x
    x = 194,990,551,791.38/511,279.68
  6. Step 6: Final answer
    x = 381,377.47

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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.