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Finding the Fourth Proportional to 394,122.56, 543,904.24 and 222,108.96

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Solution

The fourth proportional to 394,122.56, 543,904.24 and 222,108.96 is: 306,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,122.56 : 543,904.24 = 222,108.96 : x
  2. Step 2: Convert to fraction form
    394,122.56/543,904.24 = 222,108.96/x
  3. Step 3: Cross multiply
    394,122.56x = 543,904.24 × 222,108.96
  4. Step 4: Simplify right side
    394,122.56x = 120,806,005,085.99
  5. Step 5: Solve for x
    x = 120,806,005,085.99/394,122.56
  6. Step 6: Final answer
    x = 306,518.88

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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.