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Finding the Fourth Proportional to 339,241.80, 509,364.90 and 189,780.60

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Solution

The fourth proportional to 339,241.80, 509,364.90 and 189,780.60 is: 284,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,241.80 : 509,364.90 = 189,780.60 : x
  2. Step 2: Convert to fraction form
    339,241.80/509,364.90 = 189,780.60/x
  3. Step 3: Cross multiply
    339,241.80x = 509,364.90 × 189,780.60
  4. Step 4: Simplify right side
    339,241.80x = 96,667,576,340.94
  5. Step 5: Solve for x
    x = 96,667,576,340.94/339,241.80
  6. Step 6: Final answer
    x = 284,951.84

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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.