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Finding the Fourth Proportional to 263,764.40, 395,646.60 and 86,228.60

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Solution

The fourth proportional to 263,764.40, 395,646.60 and 86,228.60 is: 129,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,764.40 : 395,646.60 = 86,228.60 : x
  2. Step 2: Convert to fraction form
    263,764.40/395,646.60 = 86,228.60/x
  3. Step 3: Cross multiply
    263,764.40x = 395,646.60 × 86,228.60
  4. Step 4: Simplify right side
    263,764.40x = 34,116,052,412.76
  5. Step 5: Solve for x
    x = 34,116,052,412.76/263,764.40
  6. Step 6: Final answer
    x = 129,342.90

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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.