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Finding the Fourth Proportional to 393,964.14, 590,859.79 and 113,420.46

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Solution

The fourth proportional to 393,964.14, 590,859.79 and 113,420.46 is: 170,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,964.14 : 590,859.79 = 113,420.46 : x
  2. Step 2: Convert to fraction form
    393,964.14/590,859.79 = 113,420.46/x
  3. Step 3: Cross multiply
    393,964.14x = 590,859.79 × 113,420.46
  4. Step 4: Simplify right side
    393,964.14x = 67,015,589,177.30
  5. Step 5: Solve for x
    x = 67,015,589,177.30/393,964.14
  6. Step 6: Final answer
    x = 170,105.81

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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.