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Finding the Fourth Proportional to 1,217,472,800, 1,825,825,584 and 399,394,469.12

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Solution

The fourth proportional to 1,217,472,800, 1,825,825,584 and 399,394,469.12 is: 598,965,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,472,800 : 1,825,825,584 = 399,394,469.12 : x
  2. Step 2: Convert to fraction form
    1,217,472,800/1,825,825,584 = 399,394,469.12/x
  3. Step 3: Cross multiply
    1,217,472,800x = 1,825,825,584 × 399,394,469.12
  4. Step 4: Simplify right side
    1,217,472,800x = 729,224,639,827,393,920
  5. Step 5: Solve for x
    x = 729,224,639,827,393,920/1,217,472,800
  6. Step 6: Final answer
    x = 598,965,857.66

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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.