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Finding the Fourth Proportional to 375,119.25, 517,664.97 and 205,353.78

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Solution

The fourth proportional to 375,119.25, 517,664.97 and 205,353.78 is: 283,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,119.25 : 517,664.97 = 205,353.78 : x
  2. Step 2: Convert to fraction form
    375,119.25/517,664.97 = 205,353.78/x
  3. Step 3: Cross multiply
    375,119.25x = 517,664.97 × 205,353.78
  4. Step 4: Simplify right side
    375,119.25x = 106,304,458,363.09
  5. Step 5: Solve for x
    x = 106,304,458,363.09/375,119.25
  6. Step 6: Final answer
    x = 283,388.44

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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.