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Finding the Fourth Proportional to 339,321.20, 509,189.80 and 139,737.20

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Solution

The fourth proportional to 339,321.20, 509,189.80 and 139,737.20 is: 209,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,321.20 : 509,189.80 = 139,737.20 : x
  2. Step 2: Convert to fraction form
    339,321.20/509,189.80 = 139,737.20/x
  3. Step 3: Cross multiply
    339,321.20x = 509,189.80 × 139,737.20
  4. Step 4: Simplify right side
    339,321.20x = 71,152,756,920.56
  5. Step 5: Solve for x
    x = 71,152,756,920.56/339,321.20
  6. Step 6: Final answer
    x = 209,691.46

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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.