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Finding the Fourth Proportional to 394,961.76, 592,179.84 and 217,552.32

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Solution

The fourth proportional to 394,961.76, 592,179.84 and 217,552.32 is: 326,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,961.76 : 592,179.84 = 217,552.32 : x
  2. Step 2: Convert to fraction form
    394,961.76/592,179.84 = 217,552.32/x
  3. Step 3: Cross multiply
    394,961.76x = 592,179.84 × 217,552.32
  4. Step 4: Simplify right side
    394,961.76x = 128,830,098,049.23
  5. Step 5: Solve for x
    x = 128,830,098,049.23/394,961.76
  6. Step 6: Final answer
    x = 326,183.72

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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.