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Finding the Fourth Proportional to 394,135.86, 543,907.46 and 212,847.80

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Solution

The fourth proportional to 394,135.86, 543,907.46 and 212,847.80 is: 293,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,135.86 : 543,907.46 = 212,847.80 : x
  2. Step 2: Convert to fraction form
    394,135.86/543,907.46 = 212,847.80/x
  3. Step 3: Cross multiply
    394,135.86x = 543,907.46 × 212,847.80
  4. Step 4: Simplify right side
    394,135.86x = 115,769,502,480.81
  5. Step 5: Solve for x
    x = 115,769,502,480.81/394,135.86
  6. Step 6: Final answer
    x = 293,729.94

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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.