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Finding the Fourth Proportional to 408,836.48, 613,257.44 and 142,596

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Solution

The fourth proportional to 408,836.48, 613,257.44 and 142,596 is: 213,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,836.48 : 613,257.44 = 142,596 : x
  2. Step 2: Convert to fraction form
    408,836.48/613,257.44 = 142,596/x
  3. Step 3: Cross multiply
    408,836.48x = 613,257.44 × 142,596
  4. Step 4: Simplify right side
    408,836.48x = 87,448,057,914.24
  5. Step 5: Solve for x
    x = 87,448,057,914.24/408,836.48
  6. Step 6: Final answer
    x = 213,894.95

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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.