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Finding the Fourth Proportional to 421,812.20, 631,796.70 and 327,578.60

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Solution

The fourth proportional to 421,812.20, 631,796.70 and 327,578.60 is: 490,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,812.20 : 631,796.70 = 327,578.60 : x
  2. Step 2: Convert to fraction form
    421,812.20/631,796.70 = 327,578.60/x
  3. Step 3: Cross multiply
    421,812.20x = 631,796.70 × 327,578.60
  4. Step 4: Simplify right side
    421,812.20x = 206,963,078,470.62
  5. Step 5: Solve for x
    x = 206,963,078,470.62/421,812.20
  6. Step 6: Final answer
    x = 490,652.19

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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.