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Finding the Fourth Proportional to 378,805.86, 522,764.64 and 206,733.24

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Solution

The fourth proportional to 378,805.86, 522,764.64 and 206,733.24 is: 285,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,805.86 : 522,764.64 = 206,733.24 : x
  2. Step 2: Convert to fraction form
    378,805.86/522,764.64 = 206,733.24/x
  3. Step 3: Cross multiply
    378,805.86x = 522,764.64 × 206,733.24
  4. Step 4: Simplify right side
    378,805.86x = 108,072,827,784.63
  5. Step 5: Solve for x
    x = 108,072,827,784.63/378,805.86
  6. Step 6: Final answer
    x = 285,298.72

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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.