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Finding the Fourth Proportional to 259,728.26, 389,954.79 and 133,475.51

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Solution

The fourth proportional to 259,728.26, 389,954.79 and 133,475.51 is: 200,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,728.26 : 389,954.79 = 133,475.51 : x
  2. Step 2: Convert to fraction form
    259,728.26/389,954.79 = 133,475.51/x
  3. Step 3: Cross multiply
    259,728.26x = 389,954.79 × 133,475.51
  4. Step 4: Simplify right side
    259,728.26x = 52,049,415,447.08
  5. Step 5: Solve for x
    x = 52,049,415,447.08/259,728.26
  6. Step 6: Final answer
    x = 200,399.51

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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.