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Finding the Fourth Proportional to 322,756.65, 445,098.44 and 206,506.87

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Solution

The fourth proportional to 322,756.65, 445,098.44 and 206,506.87 is: 284,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,756.65 : 445,098.44 = 206,506.87 : x
  2. Step 2: Convert to fraction form
    322,756.65/445,098.44 = 206,506.87/x
  3. Step 3: Cross multiply
    322,756.65x = 445,098.44 × 206,506.87
  4. Step 4: Simplify right side
    322,756.65x = 91,915,885,089.80
  5. Step 5: Solve for x
    x = 91,915,885,089.80/322,756.65
  6. Step 6: Final answer
    x = 284,783.86

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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.