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Finding the Fourth Proportional to 299,308.91, 413,198.66 and 231,172.92

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Solution

The fourth proportional to 299,308.91, 413,198.66 and 231,172.92 is: 319,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,308.91 : 413,198.66 = 231,172.92 : x
  2. Step 2: Convert to fraction form
    299,308.91/413,198.66 = 231,172.92/x
  3. Step 3: Cross multiply
    299,308.91x = 413,198.66 × 231,172.92
  4. Step 4: Simplify right side
    299,308.91x = 95,520,341,350.22
  5. Step 5: Solve for x
    x = 95,520,341,350.22/299,308.91
  6. Step 6: Final answer
    x = 319,136.32

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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.