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Finding the Fourth Proportional to 393,965.14, 590,861.29 and 113,421.46

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Solution

The fourth proportional to 393,965.14, 590,861.29 and 113,421.46 is: 170,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,965.14 : 590,861.29 = 113,421.46 : x
  2. Step 2: Convert to fraction form
    393,965.14/590,861.29 = 113,421.46/x
  3. Step 3: Cross multiply
    393,965.14x = 590,861.29 × 113,421.46
  4. Step 4: Simplify right side
    393,965.14x = 67,016,350,169.28
  5. Step 5: Solve for x
    x = 67,016,350,169.28/393,965.14
  6. Step 6: Final answer
    x = 170,107.31

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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.