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Finding the Fourth Proportional to 408,881.60, 613,103.70 and 142,650.80

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Solution

The fourth proportional to 408,881.60, 613,103.70 and 142,650.80 is: 213,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,881.60 : 613,103.70 = 142,650.80 : x
  2. Step 2: Convert to fraction form
    408,881.60/613,103.70 = 142,650.80/x
  3. Step 3: Cross multiply
    408,881.60x = 613,103.70 × 142,650.80
  4. Step 4: Simplify right side
    408,881.60x = 87,459,733,287.96
  5. Step 5: Solve for x
    x = 87,459,733,287.96/408,881.60
  6. Step 6: Final answer
    x = 213,899.90

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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.