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Finding the Fourth Proportional to 512,583,103.80, 768,800,006.10 and 149,039,551.80

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Solution

The fourth proportional to 512,583,103.80, 768,800,006.10 and 149,039,551.80 is: 223,537,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,583,103.80 : 768,800,006.10 = 149,039,551.80 : x
  2. Step 2: Convert to fraction form
    512,583,103.80/768,800,006.10 = 149,039,551.80/x
  3. Step 3: Cross multiply
    512,583,103.80x = 768,800,006.10 × 149,039,551.80
  4. Step 4: Simplify right side
    512,583,103.80x = 114,581,608,332,981,280
  5. Step 5: Solve for x
    x = 114,581,608,332,981,280/512,583,103.80
  6. Step 6: Final answer
    x = 223,537,622.45

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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.