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Finding the Fourth Proportional to 631,378.65, 871,321.62 and 344,917.20

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Solution

The fourth proportional to 631,378.65, 871,321.62 and 344,917.20 is: 475,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,378.65 : 871,321.62 = 344,917.20 : x
  2. Step 2: Convert to fraction form
    631,378.65/871,321.62 = 344,917.20/x
  3. Step 3: Cross multiply
    631,378.65x = 871,321.62 × 344,917.20
  4. Step 4: Simplify right side
    631,378.65x = 300,533,813,469.86
  5. Step 5: Solve for x
    x = 300,533,813,469.86/631,378.65
  6. Step 6: Final answer
    x = 475,996.16

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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.