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Finding the Fourth Proportional to 285,986.67, 394,708.82 and 158,703.27

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Solution

The fourth proportional to 285,986.67, 394,708.82 and 158,703.27 is: 219,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,986.67 : 394,708.82 = 158,703.27 : x
  2. Step 2: Convert to fraction form
    285,986.67/394,708.82 = 158,703.27/x
  3. Step 3: Cross multiply
    285,986.67x = 394,708.82 × 158,703.27
  4. Step 4: Simplify right side
    285,986.67x = 62,641,579,638.33
  5. Step 5: Solve for x
    x = 62,641,579,638.33/285,986.67
  6. Step 6: Final answer
    x = 219,036.71

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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.