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Finding the Fourth Proportional to 276,207.72, 412,016.52 and 271,640.52

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Solution

The fourth proportional to 276,207.72, 412,016.52 and 271,640.52 is: 405,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,207.72 : 412,016.52 = 271,640.52 : x
  2. Step 2: Convert to fraction form
    276,207.72/412,016.52 = 271,640.52/x
  3. Step 3: Cross multiply
    276,207.72x = 412,016.52 × 271,640.52
  4. Step 4: Simplify right side
    276,207.72x = 111,920,381,741.39
  5. Step 5: Solve for x
    x = 111,920,381,741.39/276,207.72
  6. Step 6: Final answer
    x = 405,203.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.