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Finding the Fourth Proportional to 394,960, 545,045.16 and 216,112

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Solution

The fourth proportional to 394,960, 545,045.16 and 216,112 is: 298,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,960 : 545,045.16 = 216,112 : x
  2. Step 2: Convert to fraction form
    394,960/545,045.16 = 216,112/x
  3. Step 3: Cross multiply
    394,960x = 545,045.16 × 216,112
  4. Step 4: Simplify right side
    394,960x = 117,790,799,617.92
  5. Step 5: Solve for x
    x = 117,790,799,617.92/394,960
  6. Step 6: Final answer
    x = 298,234.76

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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.