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Finding the Fourth Proportional to 259,402.56, 389,144.22 and 109,643.44

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Solution

The fourth proportional to 259,402.56, 389,144.22 and 109,643.44 is: 164,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,402.56 : 389,144.22 = 109,643.44 : x
  2. Step 2: Convert to fraction form
    259,402.56/389,144.22 = 109,643.44/x
  3. Step 3: Cross multiply
    259,402.56x = 389,144.22 × 109,643.44
  4. Step 4: Simplify right side
    259,402.56x = 42,667,110,936.92
  5. Step 5: Solve for x
    x = 42,667,110,936.92/259,402.56
  6. Step 6: Final answer
    x = 164,482.23

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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.