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Finding the Fourth Proportional to 385,221.91, 577,911.69 and 132,469.57

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Solution

The fourth proportional to 385,221.91, 577,911.69 and 132,469.57 is: 198,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,221.91 : 577,911.69 = 132,469.57 : x
  2. Step 2: Convert to fraction form
    385,221.91/577,911.69 = 132,469.57/x
  3. Step 3: Cross multiply
    385,221.91x = 577,911.69 × 132,469.57
  4. Step 4: Simplify right side
    385,221.91x = 76,555,713,072.27
  5. Step 5: Solve for x
    x = 76,555,713,072.27/385,221.91
  6. Step 6: Final answer
    x = 198,731.46

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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.