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Finding the Fourth Proportional to 436,321.14, 654,408.81 and 120,809.94

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Solution

The fourth proportional to 436,321.14, 654,408.81 and 120,809.94 is: 181,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,321.14 : 654,408.81 = 120,809.94 : x
  2. Step 2: Convert to fraction form
    436,321.14/654,408.81 = 120,809.94/x
  3. Step 3: Cross multiply
    436,321.14x = 654,408.81 × 120,809.94
  4. Step 4: Simplify right side
    436,321.14x = 79,059,089,071.57
  5. Step 5: Solve for x
    x = 79,059,089,071.57/436,321.14
  6. Step 6: Final answer
    x = 181,194.73

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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.