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Finding the Fourth Proportional to 259,461.44, 389,192.16 and 200,383.28

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Solution

The fourth proportional to 259,461.44, 389,192.16 and 200,383.28 is: 300,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,461.44 : 389,192.16 = 200,383.28 : x
  2. Step 2: Convert to fraction form
    259,461.44/389,192.16 = 200,383.28/x
  3. Step 3: Cross multiply
    259,461.44x = 389,192.16 × 200,383.28
  4. Step 4: Simplify right side
    259,461.44x = 77,987,601,571.08
  5. Step 5: Solve for x
    x = 77,987,601,571.08/259,461.44
  6. Step 6: Final answer
    x = 300,574.92

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.