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Finding the Fourth Proportional to 321,114.42, 481,512.87 and 188,028.18

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Solution

The fourth proportional to 321,114.42, 481,512.87 and 188,028.18 is: 281,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,114.42 : 481,512.87 = 188,028.18 : x
  2. Step 2: Convert to fraction form
    321,114.42/481,512.87 = 188,028.18/x
  3. Step 3: Cross multiply
    321,114.42x = 481,512.87 × 188,028.18
  4. Step 4: Simplify right side
    321,114.42x = 90,537,988,592.68
  5. Step 5: Solve for x
    x = 90,537,988,592.68/321,114.42
  6. Step 6: Final answer
    x = 281,949.31

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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.