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Finding the Fourth Proportional to 311,548.38, 468,298.01 and 205,613.10

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Solution

The fourth proportional to 311,548.38, 468,298.01 and 205,613.10 is: 309,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,548.38 : 468,298.01 = 205,613.10 : x
  2. Step 2: Convert to fraction form
    311,548.38/468,298.01 = 205,613.10/x
  3. Step 3: Cross multiply
    311,548.38x = 468,298.01 × 205,613.10
  4. Step 4: Simplify right side
    311,548.38x = 96,288,204,917.39
  5. Step 5: Solve for x
    x = 96,288,204,917.39/311,548.38
  6. Step 6: Final answer
    x = 309,063.41

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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.