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Finding the Fourth Proportional to 339,538.80, 509,538.60 and 220,921.20

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Solution

The fourth proportional to 339,538.80, 509,538.60 and 220,921.20 is: 331,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,538.80 : 509,538.60 = 220,921.20 : x
  2. Step 2: Convert to fraction form
    339,538.80/509,538.60 = 220,921.20/x
  3. Step 3: Cross multiply
    339,538.80x = 509,538.60 × 220,921.20
  4. Step 4: Simplify right side
    339,538.80x = 112,567,878,958.32
  5. Step 5: Solve for x
    x = 112,567,878,958.32/339,538.80
  6. Step 6: Final answer
    x = 331,531.71

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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.