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Finding the Fourth Proportional to 270,903.10, 405,965.85 and 199,266.70

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Solution

The fourth proportional to 270,903.10, 405,965.85 and 199,266.70 is: 298,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,903.10 : 405,965.85 = 199,266.70 : x
  2. Step 2: Convert to fraction form
    270,903.10/405,965.85 = 199,266.70/x
  3. Step 3: Cross multiply
    270,903.10x = 405,965.85 × 199,266.70
  4. Step 4: Simplify right side
    270,903.10x = 80,895,475,242.20
  5. Step 5: Solve for x
    x = 80,895,475,242.20/270,903.10
  6. Step 6: Final answer
    x = 298,614.06

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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.