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Finding the Fourth Proportional to 431,906,393.85, 648,222,939.31 and 404,665,859.96

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Solution

The fourth proportional to 431,906,393.85, 648,222,939.31 and 404,665,859.96 is: 607,339,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,906,393.85 : 648,222,939.31 = 404,665,859.96 : x
  2. Step 2: Convert to fraction form
    431,906,393.85/648,222,939.31 = 404,665,859.96/x
  3. Step 3: Cross multiply
    431,906,393.85x = 648,222,939.31 × 404,665,859.96
  4. Step 4: Simplify right side
    431,906,393.85x = 262,313,693,185,400,576
  5. Step 5: Solve for x
    x = 262,313,693,185,400,576/431,906,393.85
  6. Step 6: Final answer
    x = 607,339,221.92

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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.