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Finding the Fourth Proportional to 339,930, 509,905.80 and 103,274.73

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Solution

The fourth proportional to 339,930, 509,905.80 and 103,274.73 is: 154,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,930 : 509,905.80 = 103,274.73 : x
  2. Step 2: Convert to fraction form
    339,930/509,905.80 = 103,274.73/x
  3. Step 3: Cross multiply
    339,930x = 509,905.80 × 103,274.73
  4. Step 4: Simplify right side
    339,930x = 52,660,383,820.43
  5. Step 5: Solve for x
    x = 52,660,383,820.43/339,930
  6. Step 6: Final answer
    x = 154,915.38

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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.