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Finding the Fourth Proportional to 339,936, 509,914.80 and 103,280.73

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Solution

The fourth proportional to 339,936, 509,914.80 and 103,280.73 is: 154,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,936 : 509,914.80 = 103,280.73 : x
  2. Step 2: Convert to fraction form
    339,936/509,914.80 = 103,280.73/x
  3. Step 3: Cross multiply
    339,936x = 509,914.80 × 103,280.73
  4. Step 4: Simplify right side
    339,936x = 52,664,372,781.80
  5. Step 5: Solve for x
    x = 52,664,372,781.80/339,936
  6. Step 6: Final answer
    x = 154,924.38

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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.