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Finding the Fourth Proportional to 393,348, 590,459.67 and 203,757.78

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Solution

The fourth proportional to 393,348, 590,459.67 and 203,757.78 is: 305,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,348 : 590,459.67 = 203,757.78 : x
  2. Step 2: Convert to fraction form
    393,348/590,459.67 = 203,757.78/x
  3. Step 3: Cross multiply
    393,348x = 590,459.67 × 203,757.78
  4. Step 4: Simplify right side
    393,348x = 120,310,751,538.73
  5. Step 5: Solve for x
    x = 120,310,751,538.73/393,348
  6. Step 6: Final answer
    x = 305,863.39

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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.