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Finding the Fourth Proportional to 394,162.56, 543,936 and 224,394.24

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Solution

The fourth proportional to 394,162.56, 543,936 and 224,394.24 is: 309,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,162.56 : 543,936 = 224,394.24 : x
  2. Step 2: Convert to fraction form
    394,162.56/543,936 = 224,394.24/x
  3. Step 3: Cross multiply
    394,162.56x = 543,936 × 224,394.24
  4. Step 4: Simplify right side
    394,162.56x = 122,056,105,328.64
  5. Step 5: Solve for x
    x = 122,056,105,328.64/394,162.56
  6. Step 6: Final answer
    x = 309,659.31

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1.5x scale

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.