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Finding the Fourth Proportional to 268,158.20, 401,891.70 and 205,518.20

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Solution

The fourth proportional to 268,158.20, 401,891.70 and 205,518.20 is: 308,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,158.20 : 401,891.70 = 205,518.20 : x
  2. Step 2: Convert to fraction form
    268,158.20/401,891.70 = 205,518.20/x
  3. Step 3: Cross multiply
    268,158.20x = 401,891.70 × 205,518.20
  4. Step 4: Simplify right side
    268,158.20x = 82,596,058,778.94
  5. Step 5: Solve for x
    x = 82,596,058,778.94/268,158.20
  6. Step 6: Final answer
    x = 308,012.43

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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.