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Finding the Fourth Proportional to 299,306.53, 413,195.39 and 231,170.55

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Solution

The fourth proportional to 299,306.53, 413,195.39 and 231,170.55 is: 319,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,306.53 : 413,195.39 = 231,170.55 : x
  2. Step 2: Convert to fraction form
    299,306.53/413,195.39 = 231,170.55/x
  3. Step 3: Cross multiply
    299,306.53x = 413,195.39 × 231,170.55
  4. Step 4: Simplify right side
    299,306.53x = 95,518,605,563.76
  5. Step 5: Solve for x
    x = 95,518,605,563.76/299,306.53
  6. Step 6: Final answer
    x = 319,133.05

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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.