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Finding the Fourth Proportional to 431,906,400.86, 648,222,949.80 and 404,665,866.98

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Solution

The fourth proportional to 431,906,400.86, 648,222,949.80 and 404,665,866.98 is: 607,339,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,906,400.86 : 648,222,949.80 = 404,665,866.98 : x
  2. Step 2: Convert to fraction form
    431,906,400.86/648,222,949.80 = 404,665,866.98/x
  3. Step 3: Cross multiply
    431,906,400.86x = 648,222,949.80 × 404,665,866.98
  4. Step 4: Simplify right side
    431,906,400.86x = 262,313,701,977,150,016
  5. Step 5: Solve for x
    x = 262,313,701,977,150,016/431,906,400.86
  6. Step 6: Final answer
    x = 607,339,232.42

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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.