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Finding the Fourth Proportional to 291,120.80, 401,531.60 and 200,505.44

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Solution

The fourth proportional to 291,120.80, 401,531.60 and 200,505.44 is: 276,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,120.80 : 401,531.60 = 200,505.44 : x
  2. Step 2: Convert to fraction form
    291,120.80/401,531.60 = 200,505.44/x
  3. Step 3: Cross multiply
    291,120.80x = 401,531.60 × 200,505.44
  4. Step 4: Simplify right side
    291,120.80x = 80,509,270,131.90
  5. Step 5: Solve for x
    x = 80,509,270,131.90/291,120.80
  6. Step 6: Final answer
    x = 276,549.36

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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.