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Finding the Fourth Proportional to 447,584.81, 617,674.92 and 243,641.60

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Solution

The fourth proportional to 447,584.81, 617,674.92 and 243,641.60 is: 336,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,584.81 : 617,674.92 = 243,641.60 : x
  2. Step 2: Convert to fraction form
    447,584.81/617,674.92 = 243,641.60/x
  3. Step 3: Cross multiply
    447,584.81x = 617,674.92 × 243,641.60
  4. Step 4: Simplify right side
    447,584.81x = 150,491,304,386.05
  5. Step 5: Solve for x
    x = 150,491,304,386.05/447,584.81
  6. Step 6: Final answer
    x = 336,229.69

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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.