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Finding the Fourth Proportional to 311,987,668.30, 467,981,502.45 and 221,288,404.30

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Solution

The fourth proportional to 311,987,668.30, 467,981,502.45 and 221,288,404.30 is: 331,932,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,987,668.30 : 467,981,502.45 = 221,288,404.30 : x
  2. Step 2: Convert to fraction form
    311,987,668.30/467,981,502.45 = 221,288,404.30/x
  3. Step 3: Cross multiply
    311,987,668.30x = 467,981,502.45 × 221,288,404.30
  4. Step 4: Simplify right side
    311,987,668.30x = 103,558,879,919,077,040
  5. Step 5: Solve for x
    x = 103,558,879,919,077,040/311,987,668.30
  6. Step 6: Final answer
    x = 331,932,606.45

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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.