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Finding the Fourth Proportional to 394,068, 543,813.84 and 215,220

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Solution

The fourth proportional to 394,068, 543,813.84 and 215,220 is: 297,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,068 : 543,813.84 = 215,220 : x
  2. Step 2: Convert to fraction form
    394,068/543,813.84 = 215,220/x
  3. Step 3: Cross multiply
    394,068x = 543,813.84 × 215,220
  4. Step 4: Simplify right side
    394,068x = 117,039,614,644.80
  5. Step 5: Solve for x
    x = 117,039,614,644.80/394,068
  6. Step 6: Final answer
    x = 297,003.60

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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.