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Finding the Fourth Proportional to 272,442.33, 408,678.84 and 82,908.86

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Solution

The fourth proportional to 272,442.33, 408,678.84 and 82,908.86 is: 124,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,442.33 : 408,678.84 = 82,908.86 : x
  2. Step 2: Convert to fraction form
    272,442.33/408,678.84 = 82,908.86/x
  3. Step 3: Cross multiply
    272,442.33x = 408,678.84 × 82,908.86
  4. Step 4: Simplify right side
    272,442.33x = 33,883,096,069.72
  5. Step 5: Solve for x
    x = 33,883,096,069.72/272,442.33
  6. Step 6: Final answer
    x = 124,367.96

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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.