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Finding the Fourth Proportional to 320,161.86, 480,129.53 and 140,334.57

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Solution

The fourth proportional to 320,161.86, 480,129.53 and 140,334.57 is: 210,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,161.86 : 480,129.53 = 140,334.57 : x
  2. Step 2: Convert to fraction form
    320,161.86/480,129.53 = 140,334.57/x
  3. Step 3: Cross multiply
    320,161.86x = 480,129.53 × 140,334.57
  4. Step 4: Simplify right side
    320,161.86x = 67,378,770,435.18
  5. Step 5: Solve for x
    x = 67,378,770,435.18/320,161.86
  6. Step 6: Final answer
    x = 210,452.21

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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.