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Finding the Fourth Proportional to 491,358.82, 737,059.19 and 171,542.87

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Solution

The fourth proportional to 491,358.82, 737,059.19 and 171,542.87 is: 257,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,358.82 : 737,059.19 = 171,542.87 : x
  2. Step 2: Convert to fraction form
    491,358.82/737,059.19 = 171,542.87/x
  3. Step 3: Cross multiply
    491,358.82x = 737,059.19 × 171,542.87
  4. Step 4: Simplify right side
    491,358.82x = 126,437,249,797.41
  5. Step 5: Solve for x
    x = 126,437,249,797.41/491,358.82
  6. Step 6: Final answer
    x = 257,321.63

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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.