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Finding the Fourth Proportional to 263,502.56, 395,264.78 and 76,514.06

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Solution

The fourth proportional to 263,502.56, 395,264.78 and 76,514.06 is: 114,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,502.56 : 395,264.78 = 76,514.06 : x
  2. Step 2: Convert to fraction form
    263,502.56/395,264.78 = 76,514.06/x
  3. Step 3: Cross multiply
    263,502.56x = 395,264.78 × 76,514.06
  4. Step 4: Simplify right side
    263,502.56x = 30,243,313,985.33
  5. Step 5: Solve for x
    x = 30,243,313,985.33/263,502.56
  6. Step 6: Final answer
    x = 114,774.27

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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.