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Finding the Fourth Proportional to 415,028.77, 622,449.71 and 270,889.23

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Solution

The fourth proportional to 415,028.77, 622,449.71 and 270,889.23 is: 406,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,028.77 : 622,449.71 = 270,889.23 : x
  2. Step 2: Convert to fraction form
    415,028.77/622,449.71 = 270,889.23/x
  3. Step 3: Cross multiply
    415,028.77x = 622,449.71 × 270,889.23
  4. Step 4: Simplify right side
    415,028.77x = 168,614,922,655.62
  5. Step 5: Solve for x
    x = 168,614,922,655.62/415,028.77
  6. Step 6: Final answer
    x = 406,272.85

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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.