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Finding the Fourth Proportional to 269,818.86, 404,657.78 and 80,228.17

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Solution

The fourth proportional to 269,818.86, 404,657.78 and 80,228.17 is: 120,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,818.86 : 404,657.78 = 80,228.17 : x
  2. Step 2: Convert to fraction form
    269,818.86/404,657.78 = 80,228.17/x
  3. Step 3: Cross multiply
    269,818.86x = 404,657.78 × 80,228.17
  4. Step 4: Simplify right side
    269,818.86x = 32,464,953,270.34
  5. Step 5: Solve for x
    x = 32,464,953,270.34/269,818.86
  6. Step 6: Final answer
    x = 120,321.29

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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.