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Finding the Fourth Proportional to 491,939.11, 737,415.36 and 171,842.50

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Solution

The fourth proportional to 491,939.11, 737,415.36 and 171,842.50 is: 257,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,939.11 : 737,415.36 = 171,842.50 : x
  2. Step 2: Convert to fraction form
    491,939.11/737,415.36 = 171,842.50/x
  3. Step 3: Cross multiply
    491,939.11x = 737,415.36 × 171,842.50
  4. Step 4: Simplify right side
    491,939.11x = 126,719,299,000.80
  5. Step 5: Solve for x
    x = 126,719,299,000.80/491,939.11
  6. Step 6: Final answer
    x = 257,591.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.