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Finding the Fourth Proportional to 276,736.76, 415,236.36 and 164,638.43

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Solution

The fourth proportional to 276,736.76, 415,236.36 and 164,638.43 is: 247,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,736.76 : 415,236.36 = 164,638.43 : x
  2. Step 2: Convert to fraction form
    276,736.76/415,236.36 = 164,638.43/x
  3. Step 3: Cross multiply
    276,736.76x = 415,236.36 × 164,638.43
  4. Step 4: Simplify right side
    276,736.76x = 68,363,862,389.31
  5. Step 5: Solve for x
    x = 68,363,862,389.31/276,736.76
  6. Step 6: Final answer
    x = 247,035.71

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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.