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Finding the Fourth Proportional to 300,538.56, 414,742.56 and 173,213.28

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Solution

The fourth proportional to 300,538.56, 414,742.56 and 173,213.28 is: 239,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,538.56 : 414,742.56 = 173,213.28 : x
  2. Step 2: Convert to fraction form
    300,538.56/414,742.56 = 173,213.28/x
  3. Step 3: Cross multiply
    300,538.56x = 414,742.56 × 173,213.28
  4. Step 4: Simplify right side
    300,538.56x = 71,838,919,173.20
  5. Step 5: Solve for x
    x = 71,838,919,173.20/300,538.56
  6. Step 6: Final answer
    x = 239,033.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.