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Finding the Fourth Proportional to 263,812.82, 395,756.10 and 86,284.44

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Solution

The fourth proportional to 263,812.82, 395,756.10 and 86,284.44 is: 129,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,812.82 : 395,756.10 = 86,284.44 : x
  2. Step 2: Convert to fraction form
    263,812.82/395,756.10 = 86,284.44/x
  3. Step 3: Cross multiply
    263,812.82x = 395,756.10 × 86,284.44
  4. Step 4: Simplify right side
    263,812.82x = 34,147,593,465.08
  5. Step 5: Solve for x
    x = 34,147,593,465.08/263,812.82
  6. Step 6: Final answer
    x = 129,438.72

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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.