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Finding the Fourth Proportional to 394,983.25, 545,077.25 and 216,135.25

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Solution

The fourth proportional to 394,983.25, 545,077.25 and 216,135.25 is: 298,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,983.25 : 545,077.25 = 216,135.25 : x
  2. Step 2: Convert to fraction form
    394,983.25/545,077.25 = 216,135.25/x
  3. Step 3: Cross multiply
    394,983.25x = 545,077.25 × 216,135.25
  4. Step 4: Simplify right side
    394,983.25x = 117,810,407,698.06
  5. Step 5: Solve for x
    x = 117,810,407,698.06/394,983.25
  6. Step 6: Final answer
    x = 298,266.84

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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.