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Finding the Fourth Proportional to 378,758.63, 522,683.89 and 206,672.72

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Solution

The fourth proportional to 378,758.63, 522,683.89 and 206,672.72 is: 285,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,758.63 : 522,683.89 = 206,672.72 : x
  2. Step 2: Convert to fraction form
    378,758.63/522,683.89 = 206,672.72/x
  3. Step 3: Cross multiply
    378,758.63x = 522,683.89 × 206,672.72
  4. Step 4: Simplify right side
    378,758.63x = 108,024,498,116.38
  5. Step 5: Solve for x
    x = 108,024,498,116.38/378,758.63
  6. Step 6: Final answer
    x = 285,206.70

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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.