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Finding the Fourth Proportional to 408,974.20, 613,418.10 and 128,476.60

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Solution

The fourth proportional to 408,974.20, 613,418.10 and 128,476.60 is: 192,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,974.20 : 613,418.10 = 128,476.60 : x
  2. Step 2: Convert to fraction form
    408,974.20/613,418.10 = 128,476.60/x
  3. Step 3: Cross multiply
    408,974.20x = 613,418.10 × 128,476.60
  4. Step 4: Simplify right side
    408,974.20x = 78,809,871,866.46
  5. Step 5: Solve for x
    x = 78,809,871,866.46/408,974.20
  6. Step 6: Final answer
    x = 192,701.33

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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.