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Finding the Fourth Proportional to 274,906.16, 378,856.78 and 214,380.94

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Solution

The fourth proportional to 274,906.16, 378,856.78 and 214,380.94 is: 295,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,906.16 : 378,856.78 = 214,380.94 : x
  2. Step 2: Convert to fraction form
    274,906.16/378,856.78 = 214,380.94/x
  3. Step 3: Cross multiply
    274,906.16x = 378,856.78 × 214,380.94
  4. Step 4: Simplify right side
    274,906.16x = 81,219,672,621.77
  5. Step 5: Solve for x
    x = 81,219,672,621.77/274,906.16
  6. Step 6: Final answer
    x = 295,445.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.