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Finding the Fourth Proportional to 395,044.86, 545,158 and 213,752.82

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Solution

The fourth proportional to 395,044.86, 545,158 and 213,752.82 is: 294,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,044.86 : 545,158 = 213,752.82 : x
  2. Step 2: Convert to fraction form
    395,044.86/545,158 = 213,752.82/x
  3. Step 3: Cross multiply
    395,044.86x = 545,158 × 213,752.82
  4. Step 4: Simplify right side
    395,044.86x = 116,529,059,845.56
  5. Step 5: Solve for x
    x = 116,529,059,845.56/395,044.86
  6. Step 6: Final answer
    x = 294,976.78

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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.