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Finding the Fourth Proportional to 327,456,471.80, 491,184,707.70 and 163,719,499.70

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Solution

The fourth proportional to 327,456,471.80, 491,184,707.70 and 163,719,499.70 is: 245,579,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,456,471.80 : 491,184,707.70 = 163,719,499.70 : x
  2. Step 2: Convert to fraction form
    327,456,471.80/491,184,707.70 = 163,719,499.70/x
  3. Step 3: Cross multiply
    327,456,471.80x = 491,184,707.70 × 163,719,499.70
  4. Step 4: Simplify right side
    327,456,471.80x = 80,416,514,604,934,736
  5. Step 5: Solve for x
    x = 80,416,514,604,934,736/327,456,471.80
  6. Step 6: Final answer
    x = 245,579,249.55

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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.