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Finding the Fourth Proportional to 298,981,805.20, 448,472,707.80 and 189,451,815.10

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Solution

The fourth proportional to 298,981,805.20, 448,472,707.80 and 189,451,815.10 is: 284,177,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,981,805.20 : 448,472,707.80 = 189,451,815.10 : x
  2. Step 2: Convert to fraction form
    298,981,805.20/448,472,707.80 = 189,451,815.10/x
  3. Step 3: Cross multiply
    298,981,805.20x = 448,472,707.80 × 189,451,815.10
  4. Step 4: Simplify right side
    298,981,805.20x = 84,963,968,515,521,920
  5. Step 5: Solve for x
    x = 84,963,968,515,521,920/298,981,805.20
  6. Step 6: Final answer
    x = 284,177,722.65

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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.