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Finding the Fourth Proportional to 395,178.23, 545,344.41 and 213,893.25

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Solution

The fourth proportional to 395,178.23, 545,344.41 and 213,893.25 is: 295,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,178.23 : 545,344.41 = 213,893.25 : x
  2. Step 2: Convert to fraction form
    395,178.23/545,344.41 = 213,893.25/x
  3. Step 3: Cross multiply
    395,178.23x = 545,344.41 × 213,893.25
  4. Step 4: Simplify right side
    395,178.23x = 116,645,488,224.23
  5. Step 5: Solve for x
    x = 116,645,488,224.23/395,178.23
  6. Step 6: Final answer
    x = 295,171.85

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1.5x scale

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.