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Finding the Fourth Proportional to 321,131.20, 481,696.80 and 202,417.60

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Solution

The fourth proportional to 321,131.20, 481,696.80 and 202,417.60 is: 303,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,131.20 : 481,696.80 = 202,417.60 : x
  2. Step 2: Convert to fraction form
    321,131.20/481,696.80 = 202,417.60/x
  3. Step 3: Cross multiply
    321,131.20x = 481,696.80 × 202,417.60
  4. Step 4: Simplify right side
    321,131.20x = 97,503,910,183.68
  5. Step 5: Solve for x
    x = 97,503,910,183.68/321,131.20
  6. Step 6: Final answer
    x = 303,626.40

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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.