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Finding the Fourth Proportional to 263,810.52, 395,764.38 and 86,327.46

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Solution

The fourth proportional to 263,810.52, 395,764.38 and 86,327.46 is: 129,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,810.52 : 395,764.38 = 86,327.46 : x
  2. Step 2: Convert to fraction form
    263,810.52/395,764.38 = 86,327.46/x
  3. Step 3: Cross multiply
    263,810.52x = 395,764.38 × 86,327.46
  4. Step 4: Simplify right side
    263,810.52x = 34,165,333,683.87
  5. Step 5: Solve for x
    x = 34,165,333,683.87/263,810.52
  6. Step 6: Final answer
    x = 129,507.09

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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.