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Finding the Fourth Proportional to 193,621.20, 290,431.80 and 144,469.20

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Solution

The fourth proportional to 193,621.20, 290,431.80 and 144,469.20 is: 216,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,621.20 : 290,431.80 = 144,469.20 : x
  2. Step 2: Convert to fraction form
    193,621.20/290,431.80 = 144,469.20/x
  3. Step 3: Cross multiply
    193,621.20x = 290,431.80 × 144,469.20
  4. Step 4: Simplify right side
    193,621.20x = 41,958,449,800.56
  5. Step 5: Solve for x
    x = 41,958,449,800.56/193,621.20
  6. Step 6: Final answer
    x = 216,703.80

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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.