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Finding the Fourth Proportional to 414,198.72, 621,363.60 and 133,650.36

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Solution

The fourth proportional to 414,198.72, 621,363.60 and 133,650.36 is: 200,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,198.72 : 621,363.60 = 133,650.36 : x
  2. Step 2: Convert to fraction form
    414,198.72/621,363.60 = 133,650.36/x
  3. Step 3: Cross multiply
    414,198.72x = 621,363.60 × 133,650.36
  4. Step 4: Simplify right side
    414,198.72x = 83,045,468,830.90
  5. Step 5: Solve for x
    x = 83,045,468,830.90/414,198.72
  6. Step 6: Final answer
    x = 200,496.68

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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.