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Finding the Fourth Proportional to 394,946, 545,025.84 and 216,098

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Solution

The fourth proportional to 394,946, 545,025.84 and 216,098 is: 298,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,946 : 545,025.84 = 216,098 : x
  2. Step 2: Convert to fraction form
    394,946/545,025.84 = 216,098/x
  3. Step 3: Cross multiply
    394,946x = 545,025.84 × 216,098
  4. Step 4: Simplify right side
    394,946x = 117,778,993,972.32
  5. Step 5: Solve for x
    x = 117,778,993,972.32/394,946
  6. Step 6: Final answer
    x = 298,215.44

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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.