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Finding the Fourth Proportional to 274,309.88, 378,538.97 and 151,794.81

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Solution

The fourth proportional to 274,309.88, 378,538.97 and 151,794.81 is: 209,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,309.88 : 378,538.97 = 151,794.81 : x
  2. Step 2: Convert to fraction form
    274,309.88/378,538.97 = 151,794.81/x
  3. Step 3: Cross multiply
    274,309.88x = 378,538.97 × 151,794.81
  4. Step 4: Simplify right side
    274,309.88x = 57,460,250,269.77
  5. Step 5: Solve for x
    x = 57,460,250,269.77/274,309.88
  6. Step 6: Final answer
    x = 209,472.04

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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.