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Finding the Fourth Proportional to 285,863.10, 394,506.89 and 158,535.96

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Solution

The fourth proportional to 285,863.10, 394,506.89 and 158,535.96 is: 218,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,863.10 : 394,506.89 = 158,535.96 : x
  2. Step 2: Convert to fraction form
    285,863.10/394,506.89 = 158,535.96/x
  3. Step 3: Cross multiply
    285,863.10x = 394,506.89 × 158,535.96
  4. Step 4: Simplify right side
    285,863.10x = 62,543,528,532.76
  5. Step 5: Solve for x
    x = 62,543,528,532.76/285,863.10
  6. Step 6: Final answer
    x = 218,788.39

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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.