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Finding the Fourth Proportional to 305,546.16, 421,743.60 and 198,122.88

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Solution

The fourth proportional to 305,546.16, 421,743.60 and 198,122.88 is: 273,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,546.16 : 421,743.60 = 198,122.88 : x
  2. Step 2: Convert to fraction form
    305,546.16/421,743.60 = 198,122.88/x
  3. Step 3: Cross multiply
    305,546.16x = 421,743.60 × 198,122.88
  4. Step 4: Simplify right side
    305,546.16x = 83,557,056,653.57
  5. Step 5: Solve for x
    x = 83,557,056,653.57/305,546.16
  6. Step 6: Final answer
    x = 273,467.87

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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.