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Finding the Fourth Proportional to 408,917.28, 613,433.52 and 142,638.96

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Solution

The fourth proportional to 408,917.28, 613,433.52 and 142,638.96 is: 213,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,917.28 : 613,433.52 = 142,638.96 : x
  2. Step 2: Convert to fraction form
    408,917.28/613,433.52 = 142,638.96/x
  3. Step 3: Cross multiply
    408,917.28x = 613,433.52 × 142,638.96
  4. Step 4: Simplify right side
    408,917.28x = 87,499,519,321.94
  5. Step 5: Solve for x
    x = 87,499,519,321.94/408,917.28
  6. Step 6: Final answer
    x = 213,978.53

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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.