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Finding the Fourth Proportional to 259,724.44, 389,547.69 and 82,208.44

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Solution

The fourth proportional to 259,724.44, 389,547.69 and 82,208.44 is: 123,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,724.44 : 389,547.69 = 82,208.44 : x
  2. Step 2: Convert to fraction form
    259,724.44/389,547.69 = 82,208.44/x
  3. Step 3: Cross multiply
    259,724.44x = 389,547.69 × 82,208.44
  4. Step 4: Simplify right side
    259,724.44x = 32,024,107,900.50
  5. Step 5: Solve for x
    x = 32,024,107,900.50/259,724.44
  6. Step 6: Final answer
    x = 123,300.33

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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.