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Finding the Fourth Proportional to 332,441, 458,801.78 and 198,305

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Solution

The fourth proportional to 332,441, 458,801.78 and 198,305 is: 273,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,441 : 458,801.78 = 198,305 : x
  2. Step 2: Convert to fraction form
    332,441/458,801.78 = 198,305/x
  3. Step 3: Cross multiply
    332,441x = 458,801.78 × 198,305
  4. Step 4: Simplify right side
    332,441x = 90,982,686,982.90
  5. Step 5: Solve for x
    x = 90,982,686,982.90/332,441
  6. Step 6: Final answer
    x = 273,680.70

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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.