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Finding the Fourth Proportional to 329,659.20, 491,717.44 and 299,387.44

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Solution

The fourth proportional to 329,659.20, 491,717.44 and 299,387.44 is: 446,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,659.20 : 491,717.44 = 299,387.44 : x
  2. Step 2: Convert to fraction form
    329,659.20/491,717.44 = 299,387.44/x
  3. Step 3: Cross multiply
    329,659.20x = 491,717.44 × 299,387.44
  4. Step 4: Simplify right side
    329,659.20x = 147,214,025,564.95
  5. Step 5: Solve for x
    x = 147,214,025,564.95/329,659.20
  6. Step 6: Final answer
    x = 446,564.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.