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Finding the Fourth Proportional to 394,405.47, 591,608.21 and 360,191.07

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Solution

The fourth proportional to 394,405.47, 591,608.21 and 360,191.07 is: 540,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,405.47 : 591,608.21 = 360,191.07 : x
  2. Step 2: Convert to fraction form
    394,405.47/591,608.21 = 360,191.07/x
  3. Step 3: Cross multiply
    394,405.47x = 591,608.21 × 360,191.07
  4. Step 4: Simplify right side
    394,405.47x = 213,091,992,379.73
  5. Step 5: Solve for x
    x = 213,091,992,379.73/394,405.47
  6. Step 6: Final answer
    x = 540,286.61

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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.