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Finding the Fourth Proportional to 279,683.92, 419,175.60 and 220,285

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Solution

The fourth proportional to 279,683.92, 419,175.60 and 220,285 is: 330,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,683.92 : 419,175.60 = 220,285 : x
  2. Step 2: Convert to fraction form
    279,683.92/419,175.60 = 220,285/x
  3. Step 3: Cross multiply
    279,683.92x = 419,175.60 × 220,285
  4. Step 4: Simplify right side
    279,683.92x = 92,338,097,046
  5. Step 5: Solve for x
    x = 92,338,097,046/279,683.92
  6. Step 6: Final answer
    x = 330,151.61

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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.