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Finding the Fourth Proportional to 664,328.09, 994,993.94 and 308,593.51

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Solution

The fourth proportional to 664,328.09, 994,993.94 and 308,593.51 is: 462,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,328.09 : 994,993.94 = 308,593.51 : x
  2. Step 2: Convert to fraction form
    664,328.09/994,993.94 = 308,593.51/x
  3. Step 3: Cross multiply
    664,328.09x = 994,993.94 × 308,593.51
  4. Step 4: Simplify right side
    664,328.09x = 307,048,670,657.33
  5. Step 5: Solve for x
    x = 307,048,670,657.33/664,328.09
  6. Step 6: Final answer
    x = 462,194.32

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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.