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Finding the Fourth Proportional to 408,868.45, 613,382.91 and 142,637.65

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Solution

The fourth proportional to 408,868.45, 613,382.91 and 142,637.65 is: 213,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,868.45 : 613,382.91 = 142,637.65 : x
  2. Step 2: Convert to fraction form
    408,868.45/613,382.91 = 142,637.65/x
  3. Step 3: Cross multiply
    408,868.45x = 613,382.91 × 142,637.65
  4. Step 4: Simplify right side
    408,868.45x = 87,491,493,052.46
  5. Step 5: Solve for x
    x = 87,491,493,052.46/408,868.45
  6. Step 6: Final answer
    x = 213,984.46

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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.