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Finding the Fourth Proportional to 298,981,803.70, 448,472,705.55 and 189,451,813.60

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Solution

The fourth proportional to 298,981,803.70, 448,472,705.55 and 189,451,813.60 is: 284,177,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,981,803.70 : 448,472,705.55 = 189,451,813.60 : x
  2. Step 2: Convert to fraction form
    298,981,803.70/448,472,705.55 = 189,451,813.60/x
  3. Step 3: Cross multiply
    298,981,803.70x = 448,472,705.55 × 189,451,813.60
  4. Step 4: Simplify right side
    298,981,803.70x = 84,963,967,416,546,288
  5. Step 5: Solve for x
    x = 84,963,967,416,546,288/298,981,803.70
  6. Step 6: Final answer
    x = 284,177,720.40

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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.