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Finding the Fourth Proportional to 408,891.24, 613,142.82 and 142,619.40

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Solution

The fourth proportional to 408,891.24, 613,142.82 and 142,619.40 is: 213,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,891.24 : 613,142.82 = 142,619.40 : x
  2. Step 2: Convert to fraction form
    408,891.24/613,142.82 = 142,619.40/x
  3. Step 3: Cross multiply
    408,891.24x = 613,142.82 × 142,619.40
  4. Step 4: Simplify right side
    408,891.24x = 87,446,061,102.71
  5. Step 5: Solve for x
    x = 87,446,061,102.71/408,891.24
  6. Step 6: Final answer
    x = 213,861.42

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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.