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Finding the Fourth Proportional to 421,763.20, 631,723.20 and 327,529.60

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Solution

The fourth proportional to 421,763.20, 631,723.20 and 327,529.60 is: 490,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,763.20 : 631,723.20 = 327,529.60 : x
  2. Step 2: Convert to fraction form
    421,763.20/631,723.20 = 327,529.60/x
  3. Step 3: Cross multiply
    421,763.20x = 631,723.20 × 327,529.60
  4. Step 4: Simplify right side
    421,763.20x = 206,908,047,006.72
  5. Step 5: Solve for x
    x = 206,908,047,006.72/421,763.20
  6. Step 6: Final answer
    x = 490,578.71

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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.