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Finding the Fourth Proportional to 394,956, 545,039.64 and 216,108

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Solution

The fourth proportional to 394,956, 545,039.64 and 216,108 is: 298,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,956 : 545,039.64 = 216,108 : x
  2. Step 2: Convert to fraction form
    394,956/545,039.64 = 216,108/x
  3. Step 3: Cross multiply
    394,956x = 545,039.64 × 216,108
  4. Step 4: Simplify right side
    394,956x = 117,787,426,521.12
  5. Step 5: Solve for x
    x = 117,787,426,521.12/394,956
  6. Step 6: Final answer
    x = 298,229.24

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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.