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Finding the Fourth Proportional to 393,351, 590,464.17 and 203,760.78

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Solution

The fourth proportional to 393,351, 590,464.17 and 203,760.78 is: 305,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,351 : 590,464.17 = 203,760.78 : x
  2. Step 2: Convert to fraction form
    393,351/590,464.17 = 203,760.78/x
  3. Step 3: Cross multiply
    393,351x = 590,464.17 × 203,760.78
  4. Step 4: Simplify right side
    393,351x = 120,313,439,841.25
  5. Step 5: Solve for x
    x = 120,313,439,841.25/393,351
  6. Step 6: Final answer
    x = 305,867.89

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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.