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Finding the Fourth Proportional to 395,083.97, 545,217.31 and 213,795.88

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Solution

The fourth proportional to 395,083.97, 545,217.31 and 213,795.88 is: 295,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,083.97 : 545,217.31 = 213,795.88 : x
  2. Step 2: Convert to fraction form
    395,083.97/545,217.31 = 213,795.88/x
  3. Step 3: Cross multiply
    395,083.97x = 545,217.31 × 213,795.88
  4. Step 4: Simplify right side
    395,083.97x = 116,565,216,065.94
  5. Step 5: Solve for x
    x = 116,565,216,065.94/395,083.97
  6. Step 6: Final answer
    x = 295,039.09

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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.