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Finding the Fourth Proportional to 378,267.72, 522,006.03 and 206,185.65

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Solution

The fourth proportional to 378,267.72, 522,006.03 and 206,185.65 is: 284,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,267.72 : 522,006.03 = 206,185.65 : x
  2. Step 2: Convert to fraction form
    378,267.72/522,006.03 = 206,185.65/x
  3. Step 3: Cross multiply
    378,267.72x = 522,006.03 × 206,185.65
  4. Step 4: Simplify right side
    378,267.72x = 107,630,152,599.47
  5. Step 5: Solve for x
    x = 107,630,152,599.47/378,267.72
  6. Step 6: Final answer
    x = 284,534.33

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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.