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Finding the Fourth Proportional to 200,578.32, 300,908.88 and 82,247.04

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Solution

The fourth proportional to 200,578.32, 300,908.88 and 82,247.04 is: 123,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,578.32 : 300,908.88 = 82,247.04 : x
  2. Step 2: Convert to fraction form
    200,578.32/300,908.88 = 82,247.04/x
  3. Step 3: Cross multiply
    200,578.32x = 300,908.88 × 82,247.04
  4. Step 4: Simplify right side
    200,578.32x = 24,748,864,689.72
  5. Step 5: Solve for x
    x = 24,748,864,689.72/200,578.32
  6. Step 6: Final answer
    x = 123,387.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.