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Finding the Fourth Proportional to 712,313,455.74, 982,992,662.43 and 394,794,201.33

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Solution

The fourth proportional to 712,313,455.74, 982,992,662.43 and 394,794,201.33 is: 544,816,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,313,455.74 : 982,992,662.43 = 394,794,201.33 : x
  2. Step 2: Convert to fraction form
    712,313,455.74/982,992,662.43 = 394,794,201.33/x
  3. Step 3: Cross multiply
    712,313,455.74x = 982,992,662.43 × 394,794,201.33
  4. Step 4: Simplify right side
    712,313,455.74x = 388,079,803,077,302,080
  5. Step 5: Solve for x
    x = 388,079,803,077,302,080/712,313,455.74
  6. Step 6: Final answer
    x = 544,816,049.66

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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.