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Finding the Fourth Proportional to 393,494.27, 589,019.63 and 213,131.75

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Solution

The fourth proportional to 393,494.27, 589,019.63 and 213,131.75 is: 319,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,494.27 : 589,019.63 = 213,131.75 : x
  2. Step 2: Convert to fraction form
    393,494.27/589,019.63 = 213,131.75/x
  3. Step 3: Cross multiply
    393,494.27x = 589,019.63 × 213,131.75
  4. Step 4: Simplify right side
    393,494.27x = 125,538,780,515.50
  5. Step 5: Solve for x
    x = 125,538,780,515.50/393,494.27
  6. Step 6: Final answer
    x = 319,035.86

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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.