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Finding the Fourth Proportional to 332,440, 458,800.40 and 198,304

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Solution

The fourth proportional to 332,440, 458,800.40 and 198,304 is: 273,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,440 : 458,800.40 = 198,304 : x
  2. Step 2: Convert to fraction form
    332,440/458,800.40 = 198,304/x
  3. Step 3: Cross multiply
    332,440x = 458,800.40 × 198,304
  4. Step 4: Simplify right side
    332,440x = 90,981,954,521.60
  5. Step 5: Solve for x
    x = 90,981,954,521.60/332,440
  6. Step 6: Final answer
    x = 273,679.32

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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.