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Finding the Fourth Proportional to 200,434.10, 300,665.18 and 80,491.03

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Solution

The fourth proportional to 200,434.10, 300,665.18 and 80,491.03 is: 120,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,434.10 : 300,665.18 = 80,491.03 : x
  2. Step 2: Convert to fraction form
    200,434.10/300,665.18 = 80,491.03/x
  3. Step 3: Cross multiply
    200,434.10x = 300,665.18 × 80,491.03
  4. Step 4: Simplify right side
    200,434.10x = 24,200,849,620.88
  5. Step 5: Solve for x
    x = 24,200,849,620.88/200,434.10
  6. Step 6: Final answer
    x = 120,742.18

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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.