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Finding the Fourth Proportional to 259,284, 388,926 and 84,180

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Solution

The fourth proportional to 259,284, 388,926 and 84,180 is: 126,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,284 : 388,926 = 84,180 : x
  2. Step 2: Convert to fraction form
    259,284/388,926 = 84,180/x
  3. Step 3: Cross multiply
    259,284x = 388,926 × 84,180
  4. Step 4: Simplify right side
    259,284x = 32,739,790,680
  5. Step 5: Solve for x
    x = 32,739,790,680/259,284
  6. Step 6: Final answer
    x = 126,270

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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.