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Finding the Fourth Proportional to 263,805.68, 395,763.88 and 86,298.78

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Solution

The fourth proportional to 263,805.68, 395,763.88 and 86,298.78 is: 129,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,805.68 : 395,763.88 = 86,298.78 : x
  2. Step 2: Convert to fraction form
    263,805.68/395,763.88 = 86,298.78/x
  3. Step 3: Cross multiply
    263,805.68x = 395,763.88 × 86,298.78
  4. Step 4: Simplify right side
    263,805.68x = 34,153,940,012.07
  5. Step 5: Solve for x
    x = 34,153,940,012.07/263,805.68
  6. Step 6: Final answer
    x = 129,466.28

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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.