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Finding the Fourth Proportional to 511,872.41, 768,279.87 and 259,328.59

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Solution

The fourth proportional to 511,872.41, 768,279.87 and 259,328.59 is: 389,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,872.41 : 768,279.87 = 259,328.59 : x
  2. Step 2: Convert to fraction form
    511,872.41/768,279.87 = 259,328.59/x
  3. Step 3: Cross multiply
    511,872.41x = 768,279.87 × 259,328.59
  4. Step 4: Simplify right side
    511,872.41x = 199,236,933,491.78
  5. Step 5: Solve for x
    x = 199,236,933,491.78/511,872.41
  6. Step 6: Final answer
    x = 389,231.63

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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.