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Finding the Fourth Proportional to 436,213.10, 654,319.62 and 120,661.80

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Solution

The fourth proportional to 436,213.10, 654,319.62 and 120,661.80 is: 180,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,213.10 : 654,319.62 = 120,661.80 : x
  2. Step 2: Convert to fraction form
    436,213.10/654,319.62 = 120,661.80/x
  3. Step 3: Cross multiply
    436,213.10x = 654,319.62 × 120,661.80
  4. Step 4: Simplify right side
    436,213.10x = 78,951,383,124.52
  5. Step 5: Solve for x
    x = 78,951,383,124.52/436,213.10
  6. Step 6: Final answer
    x = 180,992.69

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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.