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Finding the Fourth Proportional to 394,126, 543,893.94 and 215,278

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Solution

The fourth proportional to 394,126, 543,893.94 and 215,278 is: 297,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,126 : 543,893.94 = 215,278 : x
  2. Step 2: Convert to fraction form
    394,126/543,893.94 = 215,278/x
  3. Step 3: Cross multiply
    394,126x = 543,893.94 × 215,278
  4. Step 4: Simplify right side
    394,126x = 117,088,399,615.32
  5. Step 5: Solve for x
    x = 117,088,399,615.32/394,126
  6. Step 6: Final answer
    x = 297,083.67

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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.