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Finding the Fourth Proportional to 299,309.28, 413,199.18 and 231,173.30

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Solution

The fourth proportional to 299,309.28, 413,199.18 and 231,173.30 is: 319,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,309.28 : 413,199.18 = 231,173.30 : x
  2. Step 2: Convert to fraction form
    299,309.28/413,199.18 = 231,173.30/x
  3. Step 3: Cross multiply
    299,309.28x = 413,199.18 × 231,173.30
  4. Step 4: Simplify right side
    299,309.28x = 95,520,615,931.90
  5. Step 5: Solve for x
    x = 95,520,615,931.90/299,309.28
  6. Step 6: Final answer
    x = 319,136.83

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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.