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Finding the Fourth Proportional to 408,880.60, 613,102.20 and 142,649.80

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Solution

The fourth proportional to 408,880.60, 613,102.20 and 142,649.80 is: 213,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,880.60 : 613,102.20 = 142,649.80 : x
  2. Step 2: Convert to fraction form
    408,880.60/613,102.20 = 142,649.80/x
  3. Step 3: Cross multiply
    408,880.60x = 613,102.20 × 142,649.80
  4. Step 4: Simplify right side
    408,880.60x = 87,458,906,209.56
  5. Step 5: Solve for x
    x = 87,458,906,209.56/408,880.60
  6. Step 6: Final answer
    x = 213,898.40

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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.