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Finding the Fourth Proportional to 339,445.98, 509,379.24 and 197,358.12

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Solution

The fourth proportional to 339,445.98, 509,379.24 and 197,358.12 is: 296,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,445.98 : 509,379.24 = 197,358.12 : x
  2. Step 2: Convert to fraction form
    339,445.98/509,379.24 = 197,358.12/x
  3. Step 3: Cross multiply
    339,445.98x = 509,379.24 × 197,358.12
  4. Step 4: Simplify right side
    339,445.98x = 100,530,129,173.43
  5. Step 5: Solve for x
    x = 100,530,129,173.43/339,445.98
  6. Step 6: Final answer
    x = 296,159.43

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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.