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Finding the Fourth Proportional to 263,864.16, 395,714.16 and 86,331.69

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Solution

The fourth proportional to 263,864.16, 395,714.16 and 86,331.69 is: 129,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,864.16 : 395,714.16 = 86,331.69 : x
  2. Step 2: Convert to fraction form
    263,864.16/395,714.16 = 86,331.69/x
  3. Step 3: Cross multiply
    263,864.16x = 395,714.16 × 86,331.69
  4. Step 4: Simplify right side
    263,864.16x = 34,162,672,189.73
  5. Step 5: Solve for x
    x = 34,162,672,189.73/263,864.16
  6. Step 6: Final answer
    x = 129,470.68

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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.