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Finding the Fourth Proportional to 327,676,452.80, 491,184,004.80 and 163,661,950.40

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Solution

The fourth proportional to 327,676,452.80, 491,184,004.80 and 163,661,950.40 is: 245,327,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,676,452.80 : 491,184,004.80 = 163,661,950.40 : x
  2. Step 2: Convert to fraction form
    327,676,452.80/491,184,004.80 = 163,661,950.40/x
  3. Step 3: Cross multiply
    327,676,452.80x = 491,184,004.80 × 163,661,950.40
  4. Step 4: Simplify right side
    327,676,452.80x = 80,388,132,230,850,960
  5. Step 5: Solve for x
    x = 80,388,132,230,850,960/327,676,452.80
  6. Step 6: Final answer
    x = 245,327,766.29

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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.