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Finding the Fourth Proportional to 408,850.40, 613,377.68 and 142,614.80

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Solution

The fourth proportional to 408,850.40, 613,377.68 and 142,614.80 is: 213,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,850.40 : 613,377.68 = 142,614.80 : x
  2. Step 2: Convert to fraction form
    408,850.40/613,377.68 = 142,614.80/x
  3. Step 3: Cross multiply
    408,850.40x = 613,377.68 × 142,614.80
  4. Step 4: Simplify right side
    408,850.40x = 87,476,735,157.66
  5. Step 5: Solve for x
    x = 87,476,735,157.66/408,850.40
  6. Step 6: Final answer
    x = 213,957.81

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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.