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Finding the Fourth Proportional to 288,618.84, 398,181.15 and 167,738.49

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Solution

The fourth proportional to 288,618.84, 398,181.15 and 167,738.49 is: 231,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,618.84 : 398,181.15 = 167,738.49 : x
  2. Step 2: Convert to fraction form
    288,618.84/398,181.15 = 167,738.49/x
  3. Step 3: Cross multiply
    288,618.84x = 398,181.15 × 167,738.49
  4. Step 4: Simplify right side
    288,618.84x = 66,790,304,847.46
  5. Step 5: Solve for x
    x = 66,790,304,847.46/288,618.84
  6. Step 6: Final answer
    x = 231,413.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.