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Finding the Fourth Proportional to 263,505.16, 395,268.67 and 76,516.66

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Solution

The fourth proportional to 263,505.16, 395,268.67 and 76,516.66 is: 114,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,505.16 : 395,268.67 = 76,516.66 : x
  2. Step 2: Convert to fraction form
    263,505.16/395,268.67 = 76,516.66/x
  3. Step 3: Cross multiply
    263,505.16x = 395,268.67 × 76,516.66
  4. Step 4: Simplify right side
    263,505.16x = 30,244,638,431.04
  5. Step 5: Solve for x
    x = 30,244,638,431.04/263,505.16
  6. Step 6: Final answer
    x = 114,778.16

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