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Finding the Fourth Proportional to 414,531.40, 622,257.92 and 256,937.80

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Solution

The fourth proportional to 414,531.40, 622,257.92 and 256,937.80 is: 385,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,531.40 : 622,257.92 = 256,937.80 : x
  2. Step 2: Convert to fraction form
    414,531.40/622,257.92 = 256,937.80/x
  3. Step 3: Cross multiply
    414,531.40x = 622,257.92 × 256,937.80
  4. Step 4: Simplify right side
    414,531.40x = 159,881,580,997.38
  5. Step 5: Solve for x
    x = 159,881,580,997.38/414,531.40
  6. Step 6: Final answer
    x = 385,692.33

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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.