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Finding the Fourth Proportional to 289,793.44, 399,778.86 and 204,957.28

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Solution

The fourth proportional to 289,793.44, 399,778.86 and 204,957.28 is: 282,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,793.44 : 399,778.86 = 204,957.28 : x
  2. Step 2: Convert to fraction form
    289,793.44/399,778.86 = 204,957.28/x
  3. Step 3: Cross multiply
    289,793.44x = 399,778.86 × 204,957.28
  4. Step 4: Simplify right side
    289,793.44x = 81,937,586,747.65
  5. Step 5: Solve for x
    x = 81,937,586,747.65/289,793.44
  6. Step 6: Final answer
    x = 282,744.80

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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.