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Finding the Fourth Proportional to 321,481.10, 481,275.70 and 214,599.96

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Solution

The fourth proportional to 321,481.10, 481,275.70 and 214,599.96 is: 321,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,481.10 : 481,275.70 = 214,599.96 : x
  2. Step 2: Convert to fraction form
    321,481.10/481,275.70 = 214,599.96/x
  3. Step 3: Cross multiply
    321,481.10x = 481,275.70 × 214,599.96
  4. Step 4: Simplify right side
    321,481.10x = 103,281,747,172.16
  5. Step 5: Solve for x
    x = 103,281,747,172.16/321,481.10
  6. Step 6: Final answer
    x = 321,268.49

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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.