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Finding the Fourth Proportional to 263,712.96, 395,580.42 and 76,724.64

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Solution

The fourth proportional to 263,712.96, 395,580.42 and 76,724.64 is: 115,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,712.96 : 395,580.42 = 76,724.64 : x
  2. Step 2: Convert to fraction form
    263,712.96/395,580.42 = 76,724.64/x
  3. Step 3: Cross multiply
    263,712.96x = 395,580.42 × 76,724.64
  4. Step 4: Simplify right side
    263,712.96x = 30,350,765,315.55
  5. Step 5: Solve for x
    x = 30,350,765,315.55/263,712.96
  6. Step 6: Final answer
    x = 115,090.15

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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.