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Finding the Fourth Proportional to 654,605.45, 981,909.34 and 205,361.73

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Solution

The fourth proportional to 654,605.45, 981,909.34 and 205,361.73 is: 308,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,605.45 : 981,909.34 = 205,361.73 : x
  2. Step 2: Convert to fraction form
    654,605.45/981,909.34 = 205,361.73/x
  3. Step 3: Cross multiply
    654,605.45x = 981,909.34 × 205,361.73
  4. Step 4: Simplify right side
    654,605.45x = 201,646,600,252.15
  5. Step 5: Solve for x
    x = 201,646,600,252.15/654,605.45
  6. Step 6: Final answer
    x = 308,042.96

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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.