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Finding the Fourth Proportional to 279,819.17, 419,817.49 and 99,900.74

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Solution

The fourth proportional to 279,819.17, 419,817.49 and 99,900.74 is: 149,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,819.17 : 419,817.49 = 99,900.74 : x
  2. Step 2: Convert to fraction form
    279,819.17/419,817.49 = 99,900.74/x
  3. Step 3: Cross multiply
    279,819.17x = 419,817.49 × 99,900.74
  4. Step 4: Simplify right side
    279,819.17x = 41,940,079,090.36
  5. Step 5: Solve for x
    x = 41,940,079,090.36/279,819.17
  6. Step 6: Final answer
    x = 149,882.79

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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.