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Finding the Fourth Proportional to 631,344, 871,249.56 and 344,864.16

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Solution

The fourth proportional to 631,344, 871,249.56 and 344,864.16 is: 475,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,344 : 871,249.56 = 344,864.16 : x
  2. Step 2: Convert to fraction form
    631,344/871,249.56 = 344,864.16/x
  3. Step 3: Cross multiply
    631,344x = 871,249.56 × 344,864.16
  4. Step 4: Simplify right side
    631,344x = 300,462,747,659.77
  5. Step 5: Solve for x
    x = 300,462,747,659.77/631,344
  6. Step 6: Final answer
    x = 475,909.72

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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.