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Finding the Fourth Proportional to 286,083.50, 394,781.92 and 158,757.98

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Solution

The fourth proportional to 286,083.50, 394,781.92 and 158,757.98 is: 219,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,083.50 : 394,781.92 = 158,757.98 : x
  2. Step 2: Convert to fraction form
    286,083.50/394,781.92 = 158,757.98/x
  3. Step 3: Cross multiply
    286,083.50x = 394,781.92 × 158,757.98
  4. Step 4: Simplify right side
    286,083.50x = 62,674,777,788.92
  5. Step 5: Solve for x
    x = 62,674,777,788.92/286,083.50
  6. Step 6: Final answer
    x = 219,078.62

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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.