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Finding the Fourth Proportional to 263,286.40, 394,346.40 and 105,433.60

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Solution

The fourth proportional to 263,286.40, 394,346.40 and 105,433.60 is: 157,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,286.40 : 394,346.40 = 105,433.60 : x
  2. Step 2: Convert to fraction form
    263,286.40/394,346.40 = 105,433.60/x
  3. Step 3: Cross multiply
    263,286.40x = 394,346.40 × 105,433.60
  4. Step 4: Simplify right side
    263,286.40x = 41,577,360,599.04
  5. Step 5: Solve for x
    x = 41,577,360,599.04/263,286.40
  6. Step 6: Final answer
    x = 157,916.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.