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Finding the Fourth Proportional to 311,221.78, 466,833.06 and 86,582.32

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Solution

The fourth proportional to 311,221.78, 466,833.06 and 86,582.32 is: 129,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,221.78 : 466,833.06 = 86,582.32 : x
  2. Step 2: Convert to fraction form
    311,221.78/466,833.06 = 86,582.32/x
  3. Step 3: Cross multiply
    311,221.78x = 466,833.06 × 86,582.32
  4. Step 4: Simplify right side
    311,221.78x = 40,419,489,387.50
  5. Step 5: Solve for x
    x = 40,419,489,387.50/311,221.78
  6. Step 6: Final answer
    x = 129,873.59

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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.