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Finding the Fourth Proportional to 339,934, 509,911.80 and 103,278.73

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Solution

The fourth proportional to 339,934, 509,911.80 and 103,278.73 is: 154,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,934 : 509,911.80 = 103,278.73 : x
  2. Step 2: Convert to fraction form
    339,934/509,911.80 = 103,278.73/x
  3. Step 3: Cross multiply
    339,934x = 509,911.80 × 103,278.73
  4. Step 4: Simplify right side
    339,934x = 52,663,043,116.01
  5. Step 5: Solve for x
    x = 52,663,043,116.01/339,934
  6. Step 6: Final answer
    x = 154,921.38

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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.