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Finding the Fourth Proportional to 274,709.14, 379,080.50 and 153,822.72

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Solution

The fourth proportional to 274,709.14, 379,080.50 and 153,822.72 is: 212,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,709.14 : 379,080.50 = 153,822.72 : x
  2. Step 2: Convert to fraction form
    274,709.14/379,080.50 = 153,822.72/x
  3. Step 3: Cross multiply
    274,709.14x = 379,080.50 × 153,822.72
  4. Step 4: Simplify right side
    274,709.14x = 58,311,193,608.96
  5. Step 5: Solve for x
    x = 58,311,193,608.96/274,709.14
  6. Step 6: Final answer
    x = 212,265.21

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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.