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Finding the Fourth Proportional to 285,895.82, 394,212.93 and 182,391.86

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Solution

The fourth proportional to 285,895.82, 394,212.93 and 182,391.86 is: 251,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,895.82 : 394,212.93 = 182,391.86 : x
  2. Step 2: Convert to fraction form
    285,895.82/394,212.93 = 182,391.86/x
  3. Step 3: Cross multiply
    285,895.82x = 394,212.93 × 182,391.86
  4. Step 4: Simplify right side
    285,895.82x = 71,901,229,538.75
  5. Step 5: Solve for x
    x = 71,901,229,538.75/285,895.82
  6. Step 6: Final answer
    x = 251,494.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.