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Finding the Fourth Proportional to 654,350.40, 981,523.78 and 205,073.17

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Solution

The fourth proportional to 654,350.40, 981,523.78 and 205,073.17 is: 307,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,350.40 : 981,523.78 = 205,073.17 : x
  2. Step 2: Convert to fraction form
    654,350.40/981,523.78 = 205,073.17/x
  3. Step 3: Cross multiply
    654,350.40x = 981,523.78 × 205,073.17
  4. Step 4: Simplify right side
    654,350.40x = 201,284,190,028.49
  5. Step 5: Solve for x
    x = 201,284,190,028.49/654,350.40
  6. Step 6: Final answer
    x = 307,609.18

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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.