Finding the Fourth Proportional to 311,970,188,755.56, 467,628,677,286.24 and 130,556,961,181.68
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Solution
The fourth proportional to 311,970,188,755.56, 467,628,677,286.24 and 130,556,961,181.68 is: 195,698,759,908.55
Step by Step Solution
- Step 1: Write the proportion equation
311,970,188,755.56 : 467,628,677,286.24 = 130,556,961,181.68 : x - Step 2: Convert to fraction form
311,970,188,755.56/467,628,677,286.24 = 130,556,961,181.68/x - Step 3: Cross multiply
311,970,188,755.56x = 467,628,677,286.24 × 130,556,961,181.68 - Step 4: Simplify right side
311,970,188,755.56x = 61,052,179,067,899,998,109,696 - Step 5: Solve for x
x = 61,052,179,067,899,998,109,696/311,970,188,755.56 - Step 6: Final answer
x = 195,698,759,908.55
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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.