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Finding the Fourth Proportional to 354,743.82, 489,457.89 and 227,591.64

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Solution

The fourth proportional to 354,743.82, 489,457.89 and 227,591.64 is: 314,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,743.82 : 489,457.89 = 227,591.64 : x
  2. Step 2: Convert to fraction form
    354,743.82/489,457.89 = 227,591.64/x
  3. Step 3: Cross multiply
    354,743.82x = 489,457.89 × 227,591.64
  4. Step 4: Simplify right side
    354,743.82x = 111,396,523,896.04
  5. Step 5: Solve for x
    x = 111,396,523,896.04/354,743.82
  6. Step 6: Final answer
    x = 314,019.63

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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.