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Finding the Fourth Proportional to 654,604.76, 981,908.27 and 205,361.01

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Solution

The fourth proportional to 654,604.76, 981,908.27 and 205,361.01 is: 308,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,604.76 : 981,908.27 = 205,361.01 : x
  2. Step 2: Convert to fraction form
    654,604.76/981,908.27 = 205,361.01/x
  3. Step 3: Cross multiply
    654,604.76x = 981,908.27 × 205,361.01
  4. Step 4: Simplify right side
    654,604.76x = 201,645,674,054.55
  5. Step 5: Solve for x
    x = 201,645,674,054.55/654,604.76
  6. Step 6: Final answer
    x = 308,041.87

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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.