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Finding the Fourth Proportional to 327,378, 491,065.60 and 90,720

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Solution

The fourth proportional to 327,378, 491,065.60 and 90,720 is: 136,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,378 : 491,065.60 = 90,720 : x
  2. Step 2: Convert to fraction form
    327,378/491,065.60 = 90,720/x
  3. Step 3: Cross multiply
    327,378x = 491,065.60 × 90,720
  4. Step 4: Simplify right side
    327,378x = 44,549,471,232
  5. Step 5: Solve for x
    x = 44,549,471,232/327,378
  6. Step 6: Final answer
    x = 136,079.61

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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.