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Finding the Fourth Proportional to 394,493.29, 591,739.93 and 327,981.15

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Solution

The fourth proportional to 394,493.29, 591,739.93 and 327,981.15 is: 491,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,493.29 : 591,739.93 = 327,981.15 : x
  2. Step 2: Convert to fraction form
    394,493.29/591,739.93 = 327,981.15/x
  3. Step 3: Cross multiply
    394,493.29x = 591,739.93 × 327,981.15
  4. Step 4: Simplify right side
    394,493.29x = 194,079,543,152.30
  5. Step 5: Solve for x
    x = 194,079,543,152.30/394,493.29
  6. Step 6: Final answer
    x = 491,971.73

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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.