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Finding the Fourth Proportional to 647,691,851.94, 971,540,610.42 and 205,036,693.07

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Solution

The fourth proportional to 647,691,851.94, 971,540,610.42 and 205,036,693.07 is: 307,555,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,691,851.94 : 971,540,610.42 = 205,036,693.07 : x
  2. Step 2: Convert to fraction form
    647,691,851.94/971,540,610.42 = 205,036,693.07/x
  3. Step 3: Cross multiply
    647,691,851.94x = 971,540,610.42 × 205,036,693.07
  4. Step 4: Simplify right side
    647,691,851.94x = 199,201,473,940,385,664
  5. Step 5: Solve for x
    x = 199,201,473,940,385,664/647,691,851.94
  6. Step 6: Final answer
    x = 307,555,936.27

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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.