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Finding the Fourth Proportional to 288,774, 398,348.12 and 167,901.92

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Solution

The fourth proportional to 288,774, 398,348.12 and 167,901.92 is: 231,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,774 : 398,348.12 = 167,901.92 : x
  2. Step 2: Convert to fraction form
    288,774/398,348.12 = 167,901.92/x
  3. Step 3: Cross multiply
    288,774x = 398,348.12 × 167,901.92
  4. Step 4: Simplify right side
    288,774x = 66,883,414,176.39
  5. Step 5: Solve for x
    x = 66,883,414,176.39/288,774
  6. Step 6: Final answer
    x = 231,611.62

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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.