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Finding the Fourth Proportional to 400,209.31, 600,313.97 and 189,732.43

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Solution

The fourth proportional to 400,209.31, 600,313.97 and 189,732.43 is: 284,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,209.31 : 600,313.97 = 189,732.43 : x
  2. Step 2: Convert to fraction form
    400,209.31/600,313.97 = 189,732.43/x
  3. Step 3: Cross multiply
    400,209.31x = 600,313.97 × 189,732.43
  4. Step 4: Simplify right side
    400,209.31x = 113,899,028,291.05
  5. Step 5: Solve for x
    x = 113,899,028,291.05/400,209.31
  6. Step 6: Final answer
    x = 284,598.65

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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.