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Finding the Fourth Proportional to 268,049.20, 401,728.20 and 205,409.20

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Solution

The fourth proportional to 268,049.20, 401,728.20 and 205,409.20 is: 307,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,049.20 : 401,728.20 = 205,409.20 : x
  2. Step 2: Convert to fraction form
    268,049.20/401,728.20 = 205,409.20/x
  3. Step 3: Cross multiply
    268,049.20x = 401,728.20 × 205,409.20
  4. Step 4: Simplify right side
    268,049.20x = 82,518,668,179.44
  5. Step 5: Solve for x
    x = 82,518,668,179.44/268,049.20
  6. Step 6: Final answer
    x = 307,848.96

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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.