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Finding the Fourth Proportional to 819,782,942.64, 1,131,792,504.42 and 506,936,616.72

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Solution

The fourth proportional to 819,782,942.64, 1,131,792,504.42 and 506,936,616.72 is: 699,876,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,782,942.64 : 1,131,792,504.42 = 506,936,616.72 : x
  2. Step 2: Convert to fraction form
    819,782,942.64/1,131,792,504.42 = 506,936,616.72/x
  3. Step 3: Cross multiply
    819,782,942.64x = 1,131,792,504.42 × 506,936,616.72
  4. Step 4: Simplify right side
    819,782,942.64x = 573,747,063,019,730,496
  5. Step 5: Solve for x
    x = 573,747,063,019,730,496/819,782,942.64
  6. Step 6: Final answer
    x = 699,876,800.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.