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Finding the Fourth Proportional to 222,040.82, 306,408.74 and 126,578.28

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Solution

The fourth proportional to 222,040.82, 306,408.74 and 126,578.28 is: 174,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,040.82 : 306,408.74 = 126,578.28 : x
  2. Step 2: Convert to fraction form
    222,040.82/306,408.74 = 126,578.28/x
  3. Step 3: Cross multiply
    222,040.82x = 306,408.74 × 126,578.28
  4. Step 4: Simplify right side
    222,040.82x = 38,784,691,286.17
  5. Step 5: Solve for x
    x = 38,784,691,286.17/222,040.82
  6. Step 6: Final answer
    x = 174,673.70

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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.