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Finding the Fourth Proportional to 409,067.46, 613,667.64 and 120,908.34

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Solution

The fourth proportional to 409,067.46, 613,667.64 and 120,908.34 is: 181,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,067.46 : 613,667.64 = 120,908.34 : x
  2. Step 2: Convert to fraction form
    409,067.46/613,667.64 = 120,908.34/x
  3. Step 3: Cross multiply
    409,067.46x = 613,667.64 × 120,908.34
  4. Step 4: Simplify right side
    409,067.46x = 74,197,535,664.12
  5. Step 5: Solve for x
    x = 74,197,535,664.12/409,067.46
  6. Step 6: Final answer
    x = 181,382.15

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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.