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Finding the Fourth Proportional to 263,817.81, 395,811.45 and 86,284.44

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Solution

The fourth proportional to 263,817.81, 395,811.45 and 86,284.44 is: 129,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,817.81 : 395,811.45 = 86,284.44 : x
  2. Step 2: Convert to fraction form
    263,817.81/395,811.45 = 86,284.44/x
  3. Step 3: Cross multiply
    263,817.81x = 395,811.45 × 86,284.44
  4. Step 4: Simplify right side
    263,817.81x = 34,152,369,308.84
  5. Step 5: Solve for x
    x = 34,152,369,308.84/263,817.81
  6. Step 6: Final answer
    x = 129,454.37

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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.