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Finding the Fourth Proportional to 327,814, 491,805.50 and 178,015.84

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Solution

The fourth proportional to 327,814, 491,805.50 and 178,015.84 is: 267,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,814 : 491,805.50 = 178,015.84 : x
  2. Step 2: Convert to fraction form
    327,814/491,805.50 = 178,015.84/x
  3. Step 3: Cross multiply
    327,814x = 491,805.50 × 178,015.84
  4. Step 4: Simplify right side
    327,814x = 87,549,169,199.12
  5. Step 5: Solve for x
    x = 87,549,169,199.12/327,814
  6. Step 6: Final answer
    x = 267,069.65

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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.