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Finding the Fourth Proportional to 274,138.58, 378,195.40 and 183,523.74

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Solution

The fourth proportional to 274,138.58, 378,195.40 and 183,523.74 is: 253,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,138.58 : 378,195.40 = 183,523.74 : x
  2. Step 2: Convert to fraction form
    274,138.58/378,195.40 = 183,523.74/x
  3. Step 3: Cross multiply
    274,138.58x = 378,195.40 × 183,523.74
  4. Step 4: Simplify right side
    274,138.58x = 69,407,834,258.80
  5. Step 5: Solve for x
    x = 69,407,834,258.80/274,138.58
  6. Step 6: Final answer
    x = 253,185.21

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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.