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Finding the Fourth Proportional to 512,325, 768,491.82 and 179,901

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Solution

The fourth proportional to 512,325, 768,491.82 and 179,901 is: 269,853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,325 : 768,491.82 = 179,901 : x
  2. Step 2: Convert to fraction form
    512,325/768,491.82 = 179,901/x
  3. Step 3: Cross multiply
    512,325x = 768,491.82 × 179,901
  4. Step 4: Simplify right side
    512,325x = 138,252,446,909.82
  5. Step 5: Solve for x
    x = 138,252,446,909.82/512,325
  6. Step 6: Final answer
    x = 269,853.02

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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.