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Finding the Fourth Proportional to 263,776.80, 395,664.18 and 64,097.78

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Solution

The fourth proportional to 263,776.80, 395,664.18 and 64,097.78 is: 96,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,776.80 : 395,664.18 = 64,097.78 : x
  2. Step 2: Convert to fraction form
    263,776.80/395,664.18 = 64,097.78/x
  3. Step 3: Cross multiply
    263,776.80x = 395,664.18 × 64,097.78
  4. Step 4: Simplify right side
    263,776.80x = 25,361,195,840.86
  5. Step 5: Solve for x
    x = 25,361,195,840.86/263,776.80
  6. Step 6: Final answer
    x = 96,146.42

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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.