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Finding the Fourth Proportional to 667,857, 1,001,843.82 and 169,221

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Solution

The fourth proportional to 667,857, 1,001,843.82 and 169,221 is: 253,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,857 : 1,001,843.82 = 169,221 : x
  2. Step 2: Convert to fraction form
    667,857/1,001,843.82 = 169,221/x
  3. Step 3: Cross multiply
    667,857x = 1,001,843.82 × 169,221
  4. Step 4: Simplify right side
    667,857x = 169,533,013,064.22
  5. Step 5: Solve for x
    x = 169,533,013,064.22/667,857
  6. Step 6: Final answer
    x = 253,846.28

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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.