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Finding the Fourth Proportional to 339,850.74, 509,743.21 and 103,195.47

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Solution

The fourth proportional to 339,850.74, 509,743.21 and 103,195.47 is: 154,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,850.74 : 509,743.21 = 103,195.47 : x
  2. Step 2: Convert to fraction form
    339,850.74/509,743.21 = 103,195.47/x
  3. Step 3: Cross multiply
    339,850.74x = 509,743.21 × 103,195.47
  4. Step 4: Simplify right side
    339,850.74x = 52,603,190,135.26
  5. Step 5: Solve for x
    x = 52,603,190,135.26/339,850.74
  6. Step 6: Final answer
    x = 154,783.21

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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.