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Finding the Fourth Proportional to 307,785.82, 461,841.24 and 218,406.04

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Solution

The fourth proportional to 307,785.82, 461,841.24 and 218,406.04 is: 327,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,785.82 : 461,841.24 = 218,406.04 : x
  2. Step 2: Convert to fraction form
    307,785.82/461,841.24 = 218,406.04/x
  3. Step 3: Cross multiply
    307,785.82x = 461,841.24 × 218,406.04
  4. Step 4: Simplify right side
    307,785.82x = 100,868,916,337.09
  5. Step 5: Solve for x
    x = 100,868,916,337.09/307,785.82
  6. Step 6: Final answer
    x = 327,724.38

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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.