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Finding the Fourth Proportional to 263,741.78, 395,674.90 and 86,248.10

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Solution

The fourth proportional to 263,741.78, 395,674.90 and 86,248.10 is: 129,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,741.78 : 395,674.90 = 86,248.10 : x
  2. Step 2: Convert to fraction form
    263,741.78/395,674.90 = 86,248.10/x
  3. Step 3: Cross multiply
    263,741.78x = 395,674.90 × 86,248.10
  4. Step 4: Simplify right side
    263,741.78x = 34,126,208,342.69
  5. Step 5: Solve for x
    x = 34,126,208,342.69/263,741.78
  6. Step 6: Final answer
    x = 129,392.50

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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.