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Finding the Fourth Proportional to 421,756.20, 631,712.70 and 327,522.60

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Solution

The fourth proportional to 421,756.20, 631,712.70 and 327,522.60 is: 490,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,756.20 : 631,712.70 = 327,522.60 : x
  2. Step 2: Convert to fraction form
    421,756.20/631,712.70 = 327,522.60/x
  3. Step 3: Cross multiply
    421,756.20x = 631,712.70 × 327,522.60
  4. Step 4: Simplify right side
    421,756.20x = 206,900,185,957.02
  5. Step 5: Solve for x
    x = 206,900,185,957.02/421,756.20
  6. Step 6: Final answer
    x = 490,568.21

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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.