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Finding the Fourth Proportional to 259,326, 388,989 and 84,222

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Solution

The fourth proportional to 259,326, 388,989 and 84,222 is: 126,333

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,326 : 388,989 = 84,222 : x
  2. Step 2: Convert to fraction form
    259,326/388,989 = 84,222/x
  3. Step 3: Cross multiply
    259,326x = 388,989 × 84,222
  4. Step 4: Simplify right side
    259,326x = 32,761,431,558
  5. Step 5: Solve for x
    x = 32,761,431,558/259,326
  6. Step 6: Final answer
    x = 126,333

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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.