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Finding the Fourth Proportional to 631,296, 871,183.26 and 344,816.28

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Solution

The fourth proportional to 631,296, 871,183.26 and 344,816.28 is: 475,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,296 : 871,183.26 = 344,816.28 : x
  2. Step 2: Convert to fraction form
    631,296/871,183.26 = 344,816.28/x
  3. Step 3: Cross multiply
    631,296x = 871,183.26 × 344,816.28
  4. Step 4: Simplify right side
    631,296x = 300,398,170,911.47
  5. Step 5: Solve for x
    x = 300,398,170,911.47/631,296
  6. Step 6: Final answer
    x = 475,843.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.