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Finding the Fourth Proportional to 274,622.59, 378,934.97 and 153,768.97

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Solution

The fourth proportional to 274,622.59, 378,934.97 and 153,768.97 is: 212,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,622.59 : 378,934.97 = 153,768.97 : x
  2. Step 2: Convert to fraction form
    274,622.59/378,934.97 = 153,768.97/x
  3. Step 3: Cross multiply
    274,622.59x = 378,934.97 × 153,768.97
  4. Step 4: Simplify right side
    274,622.59x = 58,268,440,033.88
  5. Step 5: Solve for x
    x = 58,268,440,033.88/274,622.59
  6. Step 6: Final answer
    x = 212,176.43

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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.