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Finding the Fourth Proportional to 300,342.33, 414,292.32 and 198,367.92

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Solution

The fourth proportional to 300,342.33, 414,292.32 and 198,367.92 is: 273,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,342.33 : 414,292.32 = 198,367.92 : x
  2. Step 2: Convert to fraction form
    300,342.33/414,292.32 = 198,367.92/x
  3. Step 3: Cross multiply
    300,342.33x = 414,292.32 × 198,367.92
  4. Step 4: Simplify right side
    300,342.33x = 82,182,305,790.37
  5. Step 5: Solve for x
    x = 82,182,305,790.37/300,342.33
  6. Step 6: Final answer
    x = 273,628.78

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1.5x scale

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.