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Finding the Fourth Proportional to 378,516.81, 522,353.69 and 206,435.14

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Solution

The fourth proportional to 378,516.81, 522,353.69 and 206,435.14 is: 284,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,516.81 : 522,353.69 = 206,435.14 : x
  2. Step 2: Convert to fraction form
    378,516.81/522,353.69 = 206,435.14/x
  3. Step 3: Cross multiply
    378,516.81x = 522,353.69 × 206,435.14
  4. Step 4: Simplify right side
    378,516.81x = 107,832,157,124.67
  5. Step 5: Solve for x
    x = 107,832,157,124.67/378,516.81
  6. Step 6: Final answer
    x = 284,880.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.