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Finding the Fourth Proportional to 274,987.80, 378,773.33 and 194,275.22

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Solution

The fourth proportional to 274,987.80, 378,773.33 and 194,275.22 is: 267,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,987.80 : 378,773.33 = 194,275.22 : x
  2. Step 2: Convert to fraction form
    274,987.80/378,773.33 = 194,275.22/x
  3. Step 3: Cross multiply
    274,987.80x = 378,773.33 × 194,275.22
  4. Step 4: Simplify right side
    274,987.80x = 73,586,269,150.64
  5. Step 5: Solve for x
    x = 73,586,269,150.64/274,987.80
  6. Step 6: Final answer
    x = 267,598.30

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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.