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Finding the Fourth Proportional to 421,805.20, 631,786.20 and 327,571.60

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Solution

The fourth proportional to 421,805.20, 631,786.20 and 327,571.60 is: 490,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,805.20 : 631,786.20 = 327,571.60 : x
  2. Step 2: Convert to fraction form
    421,805.20/631,786.20 = 327,571.60/x
  3. Step 3: Cross multiply
    421,805.20x = 631,786.20 × 327,571.60
  4. Step 4: Simplify right side
    421,805.20x = 206,955,216,391.92
  5. Step 5: Solve for x
    x = 206,955,216,391.92/421,805.20
  6. Step 6: Final answer
    x = 490,641.69

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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.