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Finding the Fourth Proportional to 395,093.93, 545,229.62 and 213,805.85

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Solution

The fourth proportional to 395,093.93, 545,229.62 and 213,805.85 is: 295,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,093.93 : 545,229.62 = 213,805.85 : x
  2. Step 2: Convert to fraction form
    395,093.93/545,229.62 = 213,805.85/x
  3. Step 3: Cross multiply
    395,093.93x = 545,229.62 × 213,805.85
  4. Step 4: Simplify right side
    395,093.93x = 116,573,282,349.28
  5. Step 5: Solve for x
    x = 116,573,282,349.28/395,093.93
  6. Step 6: Final answer
    x = 295,052.07

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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.