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Finding the Fourth Proportional to 378,139.66, 521,826.04 and 206,059.14

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Solution

The fourth proportional to 378,139.66, 521,826.04 and 206,059.14 is: 284,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,139.66 : 521,826.04 = 206,059.14 : x
  2. Step 2: Convert to fraction form
    378,139.66/521,826.04 = 206,059.14/x
  3. Step 3: Cross multiply
    378,139.66x = 521,826.04 × 206,059.14
  4. Step 4: Simplify right side
    378,139.66x = 107,527,025,032.01
  5. Step 5: Solve for x
    x = 107,527,025,032.01/378,139.66
  6. Step 6: Final answer
    x = 284,357.97

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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.