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Finding the Fourth Proportional to 394,105.50, 543,866.40 and 215,257.50

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Solution

The fourth proportional to 394,105.50, 543,866.40 and 215,257.50 is: 297,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,105.50 : 543,866.40 = 215,257.50 : x
  2. Step 2: Convert to fraction form
    394,105.50/543,866.40 = 215,257.50/x
  3. Step 3: Cross multiply
    394,105.50x = 543,866.40 × 215,257.50
  4. Step 4: Simplify right side
    394,105.50x = 117,071,321,598
  5. Step 5: Solve for x
    x = 117,071,321,598/394,105.50
  6. Step 6: Final answer
    x = 297,055.79

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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.