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Finding the Fourth Proportional to 339,607.38, 509,517.75 and 140,021.70

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Solution

The fourth proportional to 339,607.38, 509,517.75 and 140,021.70 is: 210,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,607.38 : 509,517.75 = 140,021.70 : x
  2. Step 2: Convert to fraction form
    339,607.38/509,517.75 = 140,021.70/x
  3. Step 3: Cross multiply
    339,607.38x = 509,517.75 × 140,021.70
  4. Step 4: Simplify right side
    339,607.38x = 71,343,541,535.18
  5. Step 5: Solve for x
    x = 71,343,541,535.18/339,607.38
  6. Step 6: Final answer
    x = 210,076.53

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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.