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Finding the Fourth Proportional to 408,930.49, 613,351.92 and 142,696.04

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Solution

The fourth proportional to 408,930.49, 613,351.92 and 142,696.04 is: 214,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,930.49 : 613,351.92 = 142,696.04 : x
  2. Step 2: Convert to fraction form
    408,930.49/613,351.92 = 142,696.04/x
  3. Step 3: Cross multiply
    408,930.49x = 613,351.92 × 142,696.04
  4. Step 4: Simplify right side
    408,930.49x = 87,522,890,110.40
  5. Step 5: Solve for x
    x = 87,522,890,110.40/408,930.49
  6. Step 6: Final answer
    x = 214,028.77

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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.