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Finding the Fourth Proportional to 408,797.12, 613,277.69 and 142,486.13

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Solution

The fourth proportional to 408,797.12, 613,277.69 and 142,486.13 is: 213,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,797.12 : 613,277.69 = 142,486.13 : x
  2. Step 2: Convert to fraction form
    408,797.12/613,277.69 = 142,486.13/x
  3. Step 3: Cross multiply
    408,797.12x = 613,277.69 × 142,486.13
  4. Step 4: Simplify right side
    408,797.12x = 87,383,560,884.62
  5. Step 5: Solve for x
    x = 87,383,560,884.62/408,797.12
  6. Step 6: Final answer
    x = 213,757.77

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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.