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Finding the Fourth Proportional to 285,837.96, 394,446.87 and 158,522.97

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Solution

The fourth proportional to 285,837.96, 394,446.87 and 158,522.97 is: 218,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,837.96 : 394,446.87 = 158,522.97 : x
  2. Step 2: Convert to fraction form
    285,837.96/394,446.87 = 158,522.97/x
  3. Step 3: Cross multiply
    285,837.96x = 394,446.87 × 158,522.97
  4. Step 4: Simplify right side
    285,837.96x = 62,528,889,339.60
  5. Step 5: Solve for x
    x = 62,528,889,339.60/285,837.96
  6. Step 6: Final answer
    x = 218,756.42

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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.