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Finding the Fourth Proportional to 281,571.09, 422,018.82 and 196,869.39

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Solution

The fourth proportional to 281,571.09, 422,018.82 and 196,869.39 is: 295,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,571.09 : 422,018.82 = 196,869.39 : x
  2. Step 2: Convert to fraction form
    281,571.09/422,018.82 = 196,869.39/x
  3. Step 3: Cross multiply
    281,571.09x = 422,018.82 × 196,869.39
  4. Step 4: Simplify right side
    281,571.09x = 83,082,587,661.92
  5. Step 5: Solve for x
    x = 83,082,587,661.92/281,571.09
  6. Step 6: Final answer
    x = 295,067.89

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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.