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Finding the Fourth Proportional to 299,162, 412,851.30 and 163,198.20

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Solution

The fourth proportional to 299,162, 412,851.30 and 163,198.20 is: 225,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,162 : 412,851.30 = 163,198.20 : x
  2. Step 2: Convert to fraction form
    299,162/412,851.30 = 163,198.20/x
  3. Step 3: Cross multiply
    299,162x = 412,851.30 × 163,198.20
  4. Step 4: Simplify right side
    299,162x = 67,376,589,027.66
  5. Step 5: Solve for x
    x = 67,376,589,027.66/299,162
  6. Step 6: Final answer
    x = 225,217.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.