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Finding the Fourth Proportional to 274,276.78, 378,536.97 and 153,424.78

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Solution

The fourth proportional to 274,276.78, 378,536.97 and 153,424.78 is: 211,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,276.78 : 378,536.97 = 153,424.78 : x
  2. Step 2: Convert to fraction form
    274,276.78/378,536.97 = 153,424.78/x
  3. Step 3: Cross multiply
    274,276.78x = 378,536.97 × 153,424.78
  4. Step 4: Simplify right side
    274,276.78x = 58,076,951,344.12
  5. Step 5: Solve for x
    x = 58,076,951,344.12/274,276.78
  6. Step 6: Final answer
    x = 211,745.78

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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.