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Finding the Fourth Proportional to 393,074.64, 590,105.52 and 327,319.92

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Solution

The fourth proportional to 393,074.64, 590,105.52 and 327,319.92 is: 491,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,074.64 : 590,105.52 = 327,319.92 : x
  2. Step 2: Convert to fraction form
    393,074.64/590,105.52 = 327,319.92/x
  3. Step 3: Cross multiply
    393,074.64x = 590,105.52 × 327,319.92
  4. Step 4: Simplify right side
    393,074.64x = 193,153,291,597.96
  5. Step 5: Solve for x
    x = 193,153,291,597.96/393,074.64
  6. Step 6: Final answer
    x = 491,390.88

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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.