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Finding the Fourth Proportional to 408,832, 613,248 and 113,344

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Solution

The fourth proportional to 408,832, 613,248 and 113,344 is: 170,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,832 : 613,248 = 113,344 : x
  2. Step 2: Convert to fraction form
    408,832/613,248 = 113,344/x
  3. Step 3: Cross multiply
    408,832x = 613,248 × 113,344
  4. Step 4: Simplify right side
    408,832x = 69,507,981,312
  5. Step 5: Solve for x
    x = 69,507,981,312/408,832
  6. Step 6: Final answer
    x = 170,016

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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.