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Finding the Fourth Proportional to 408,786, 613,213.56 and 113,298

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Solution

The fourth proportional to 408,786, 613,213.56 and 113,298 is: 169,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,786 : 613,213.56 = 113,298 : x
  2. Step 2: Convert to fraction form
    408,786/613,213.56 = 113,298/x
  3. Step 3: Cross multiply
    408,786x = 613,213.56 × 113,298
  4. Step 4: Simplify right side
    408,786x = 69,475,869,920.88
  5. Step 5: Solve for x
    x = 69,475,869,920.88/408,786
  6. Step 6: Final answer
    x = 169,956.58

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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.