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Finding the Fourth Proportional to 276,821, 415,408.11 and 99,324.08

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Solution

The fourth proportional to 276,821, 415,408.11 and 99,324.08 is: 149,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,821 : 415,408.11 = 99,324.08 : x
  2. Step 2: Convert to fraction form
    276,821/415,408.11 = 99,324.08/x
  3. Step 3: Cross multiply
    276,821x = 415,408.11 × 99,324.08
  4. Step 4: Simplify right side
    276,821x = 41,260,028,350.29
  5. Step 5: Solve for x
    x = 41,260,028,350.29/276,821
  6. Step 6: Final answer
    x = 149,049.49

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1.5x scale

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.