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Finding the Fourth Proportional to 321,305.10, 481,629.60 and 188,116.80

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Solution

The fourth proportional to 321,305.10, 481,629.60 and 188,116.80 is: 281,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,305.10 : 481,629.60 = 188,116.80 : x
  2. Step 2: Convert to fraction form
    321,305.10/481,629.60 = 188,116.80/x
  3. Step 3: Cross multiply
    321,305.10x = 481,629.60 × 188,116.80
  4. Step 4: Simplify right side
    321,305.10x = 90,602,619,137.28
  5. Step 5: Solve for x
    x = 90,602,619,137.28/321,305.10
  6. Step 6: Final answer
    x = 281,983.13

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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.