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Finding the Fourth Proportional to 263,638.14, 395,524.62 and 76,649.64

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Solution

The fourth proportional to 263,638.14, 395,524.62 and 76,649.64 is: 114,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,638.14 : 395,524.62 = 76,649.64 : x
  2. Step 2: Convert to fraction form
    263,638.14/395,524.62 = 76,649.64/x
  3. Step 3: Cross multiply
    263,638.14x = 395,524.62 × 76,649.64
  4. Step 4: Simplify right side
    263,638.14x = 30,316,819,734.14
  5. Step 5: Solve for x
    x = 30,316,819,734.14/263,638.14
  6. Step 6: Final answer
    x = 114,994.06

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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.