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Finding the Fourth Proportional to 339,874.92, 509,880.42 and 190,327.86

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Solution

The fourth proportional to 339,874.92, 509,880.42 and 190,327.86 is: 285,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,874.92 : 509,880.42 = 190,327.86 : x
  2. Step 2: Convert to fraction form
    339,874.92/509,880.42 = 190,327.86/x
  3. Step 3: Cross multiply
    339,874.92x = 509,880.42 × 190,327.86
  4. Step 4: Simplify right side
    339,874.92x = 97,044,449,194.50
  5. Step 5: Solve for x
    x = 97,044,449,194.50/339,874.92
  6. Step 6: Final answer
    x = 285,529.89

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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.