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Finding the Fourth Proportional to 279,946.76, 419,834 and 80,213.64

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Solution

The fourth proportional to 279,946.76, 419,834 and 80,213.64 is: 120,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,946.76 : 419,834 = 80,213.64 : x
  2. Step 2: Convert to fraction form
    279,946.76/419,834 = 80,213.64/x
  3. Step 3: Cross multiply
    279,946.76x = 419,834 × 80,213.64
  4. Step 4: Simplify right side
    279,946.76x = 33,676,413,335.76
  5. Step 5: Solve for x
    x = 33,676,413,335.76/279,946.76
  6. Step 6: Final answer
    x = 120,295.78

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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.