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Finding the Fourth Proportional to 394,129.98, 543,899.97 and 224,364.11

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Solution

The fourth proportional to 394,129.98, 543,899.97 and 224,364.11 is: 309,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,129.98 : 543,899.97 = 224,364.11 : x
  2. Step 2: Convert to fraction form
    394,129.98/543,899.97 = 224,364.11/x
  3. Step 3: Cross multiply
    394,129.98x = 543,899.97 × 224,364.11
  4. Step 4: Simplify right side
    394,129.98x = 122,031,629,978.58
  5. Step 5: Solve for x
    x = 122,031,629,978.58/394,129.98
  6. Step 6: Final answer
    x = 309,622.81

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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.