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Finding the Fourth Proportional to 263,532.81, 395,310.15 and 76,544.31

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Solution

The fourth proportional to 263,532.81, 395,310.15 and 76,544.31 is: 114,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,532.81 : 395,310.15 = 76,544.31 : x
  2. Step 2: Convert to fraction form
    263,532.81/395,310.15 = 76,544.31/x
  3. Step 3: Cross multiply
    263,532.81x = 395,310.15 × 76,544.31
  4. Step 4: Simplify right side
    263,532.81x = 30,258,742,667.75
  5. Step 5: Solve for x
    x = 30,258,742,667.75/263,532.81
  6. Step 6: Final answer
    x = 114,819.64

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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.