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Finding the Fourth Proportional to 321,115.20, 481,154.40 and 202,574.40

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Solution

The fourth proportional to 321,115.20, 481,154.40 and 202,574.40 is: 303,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,115.20 : 481,154.40 = 202,574.40 : x
  2. Step 2: Convert to fraction form
    321,115.20/481,154.40 = 202,574.40/x
  3. Step 3: Cross multiply
    321,115.20x = 481,154.40 × 202,574.40
  4. Step 4: Simplify right side
    321,115.20x = 97,469,563,887.36
  5. Step 5: Solve for x
    x = 97,469,563,887.36/321,115.20
  6. Step 6: Final answer
    x = 303,534.57

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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.