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Finding the Fourth Proportional to 321,175.45, 443,225.28 and 177,937.48

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Solution

The fourth proportional to 321,175.45, 443,225.28 and 177,937.48 is: 245,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,175.45 : 443,225.28 = 177,937.48 : x
  2. Step 2: Convert to fraction form
    321,175.45/443,225.28 = 177,937.48/x
  3. Step 3: Cross multiply
    321,175.45x = 443,225.28 × 177,937.48
  4. Step 4: Simplify right side
    321,175.45x = 78,866,389,395.49
  5. Step 5: Solve for x
    x = 78,866,389,395.49/321,175.45
  6. Step 6: Final answer
    x = 245,555.47

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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.