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Finding the Fourth Proportional to 395,069.10, 545,198.64 and 231,823.23

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Solution

The fourth proportional to 395,069.10, 545,198.64 and 231,823.23 is: 319,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,069.10 : 545,198.64 = 231,823.23 : x
  2. Step 2: Convert to fraction form
    395,069.10/545,198.64 = 231,823.23/x
  3. Step 3: Cross multiply
    395,069.10x = 545,198.64 × 231,823.23
  4. Step 4: Simplify right side
    395,069.10x = 126,389,709,716.41
  5. Step 5: Solve for x
    x = 126,389,709,716.41/395,069.10
  6. Step 6: Final answer
    x = 319,917.98

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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.