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Finding the Fourth Proportional to 298,188.28, 411,496.44 and 222,047.92

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Solution

The fourth proportional to 298,188.28, 411,496.44 and 222,047.92 is: 306,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,188.28 : 411,496.44 = 222,047.92 : x
  2. Step 2: Convert to fraction form
    298,188.28/411,496.44 = 222,047.92/x
  3. Step 3: Cross multiply
    298,188.28x = 411,496.44 × 222,047.92
  4. Step 4: Simplify right side
    298,188.28x = 91,371,928,589.40
  5. Step 5: Solve for x
    x = 91,371,928,589.40/298,188.28
  6. Step 6: Final answer
    x = 306,423.61

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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.