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Finding the Fourth Proportional to 274,322.22, 378,546.88 and 153,442.78

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Solution

The fourth proportional to 274,322.22, 378,546.88 and 153,442.78 is: 211,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,322.22 : 378,546.88 = 153,442.78 : x
  2. Step 2: Convert to fraction form
    274,322.22/378,546.88 = 153,442.78/x
  3. Step 3: Cross multiply
    274,322.22x = 378,546.88 × 153,442.78
  4. Step 4: Simplify right side
    274,322.22x = 58,085,285,627.53
  5. Step 5: Solve for x
    x = 58,085,285,627.53/274,322.22
  6. Step 6: Final answer
    x = 211,741.09

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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.