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Finding the Fourth Proportional to 266,419.13, 399,825.92 and 126,178.16

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Solution

The fourth proportional to 266,419.13, 399,825.92 and 126,178.16 is: 189,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,419.13 : 399,825.92 = 126,178.16 : x
  2. Step 2: Convert to fraction form
    266,419.13/399,825.92 = 126,178.16/x
  3. Step 3: Cross multiply
    266,419.13x = 399,825.92 × 126,178.16
  4. Step 4: Simplify right side
    266,419.13x = 50,449,297,222.22
  5. Step 5: Solve for x
    x = 50,449,297,222.22/266,419.13
  6. Step 6: Final answer
    x = 189,360.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.