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Finding the Fourth Proportional to 299,305.53, 413,194.01 and 231,169.55

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Solution

The fourth proportional to 299,305.53, 413,194.01 and 231,169.55 is: 319,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,305.53 : 413,194.01 = 231,169.55 : x
  2. Step 2: Convert to fraction form
    299,305.53/413,194.01 = 231,169.55/x
  3. Step 3: Cross multiply
    299,305.53x = 413,194.01 × 231,169.55
  4. Step 4: Simplify right side
    299,305.53x = 95,517,871,432.91
  5. Step 5: Solve for x
    x = 95,517,871,432.91/299,305.53
  6. Step 6: Final answer
    x = 319,131.66

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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.