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Finding the Fourth Proportional to 394,329.86, 591,257.87 and 154,157.71

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Solution

The fourth proportional to 394,329.86, 591,257.87 and 154,157.71 is: 231,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,329.86 : 591,257.87 = 154,157.71 : x
  2. Step 2: Convert to fraction form
    394,329.86/591,257.87 = 154,157.71/x
  3. Step 3: Cross multiply
    394,329.86x = 591,257.87 × 154,157.71
  4. Step 4: Simplify right side
    394,329.86x = 91,146,958,165.93
  5. Step 5: Solve for x
    x = 91,146,958,165.93/394,329.86
  6. Step 6: Final answer
    x = 231,143.94

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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.