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Finding the Fourth Proportional to 378,281.21, 522,024.92 and 206,196.04

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Solution

The fourth proportional to 378,281.21, 522,024.92 and 206,196.04 is: 284,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,281.21 : 522,024.92 = 206,196.04 : x
  2. Step 2: Convert to fraction form
    378,281.21/522,024.92 = 206,196.04/x
  3. Step 3: Cross multiply
    378,281.21x = 522,024.92 × 206,196.04
  4. Step 4: Simplify right side
    378,281.21x = 107,639,471,285.32
  5. Step 5: Solve for x
    x = 107,639,471,285.32/378,281.21
  6. Step 6: Final answer
    x = 284,548.82

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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.