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Finding the Fourth Proportional to 422,067, 633,100.50 and 126,579

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Solution

The fourth proportional to 422,067, 633,100.50 and 126,579 is: 189,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,067 : 633,100.50 = 126,579 : x
  2. Step 2: Convert to fraction form
    422,067/633,100.50 = 126,579/x
  3. Step 3: Cross multiply
    422,067x = 633,100.50 × 126,579
  4. Step 4: Simplify right side
    422,067x = 80,137,228,189.50
  5. Step 5: Solve for x
    x = 80,137,228,189.50/422,067
  6. Step 6: Final answer
    x = 189,868.50

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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.