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Finding the Fourth Proportional to 654,359.88, 981,540.42 and 205,115.88

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Solution

The fourth proportional to 654,359.88, 981,540.42 and 205,115.88 is: 307,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,359.88 : 981,540.42 = 205,115.88 : x
  2. Step 2: Convert to fraction form
    654,359.88/981,540.42 = 205,115.88/x
  3. Step 3: Cross multiply
    654,359.88x = 981,540.42 × 205,115.88
  4. Step 4: Simplify right side
    654,359.88x = 201,329,527,003.87
  5. Step 5: Solve for x
    x = 201,329,527,003.87/654,359.88
  6. Step 6: Final answer
    x = 307,674.01

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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.