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Finding the Fourth Proportional to 415,029.77, 622,451.21 and 270,890.23

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Solution

The fourth proportional to 415,029.77, 622,451.21 and 270,890.23 is: 406,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,029.77 : 622,451.21 = 270,890.23 : x
  2. Step 2: Convert to fraction form
    415,029.77/622,451.21 = 270,890.23/x
  3. Step 3: Cross multiply
    415,029.77x = 622,451.21 × 270,890.23
  4. Step 4: Simplify right side
    415,029.77x = 168,615,951,440.68
  5. Step 5: Solve for x
    x = 168,615,951,440.68/415,029.77
  6. Step 6: Final answer
    x = 406,274.35

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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.