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Finding the Fourth Proportional to 321,175.12, 443,185.80 and 177,899.20

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Solution

The fourth proportional to 321,175.12, 443,185.80 and 177,899.20 is: 245,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,175.12 : 443,185.80 = 177,899.20 : x
  2. Step 2: Convert to fraction form
    321,175.12/443,185.80 = 177,899.20/x
  3. Step 3: Cross multiply
    321,175.12x = 443,185.80 × 177,899.20
  4. Step 4: Simplify right side
    321,175.12x = 78,842,399,271.36
  5. Step 5: Solve for x
    x = 78,842,399,271.36/321,175.12
  6. Step 6: Final answer
    x = 245,481.03

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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.