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Finding the Fourth Proportional to 257,969.36, 356,131.32 and 200,480.24

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Solution

The fourth proportional to 257,969.36, 356,131.32 and 200,480.24 is: 276,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,969.36 : 356,131.32 = 200,480.24 : x
  2. Step 2: Convert to fraction form
    257,969.36/356,131.32 = 200,480.24/x
  3. Step 3: Cross multiply
    257,969.36x = 356,131.32 × 200,480.24
  4. Step 4: Simplify right side
    257,969.36x = 71,397,292,505.12
  5. Step 5: Solve for x
    x = 71,397,292,505.12/257,969.36
  6. Step 6: Final answer
    x = 276,766.56

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1.5x scale

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.