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Finding the Fourth Proportional to 408,720.57, 613,084.26 and 142,480.65

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Solution

The fourth proportional to 408,720.57, 613,084.26 and 142,480.65 is: 213,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,720.57 : 613,084.26 = 142,480.65 : x
  2. Step 2: Convert to fraction form
    408,720.57/613,084.26 = 142,480.65/x
  3. Step 3: Cross multiply
    408,720.57x = 613,084.26 × 142,480.65
  4. Step 4: Simplify right side
    408,720.57x = 87,352,646,702.94
  5. Step 5: Solve for x
    x = 87,352,646,702.94/408,720.57
  6. Step 6: Final answer
    x = 213,722.17

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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.