Finding the Fourth Proportional to 394,815,786,743.14, 544,845,785,705.48 and 225,843,057,911.12
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Solution
The fourth proportional to 394,815,786,743.14, 544,845,785,705.48 and 225,843,057,911.12 is: 311,663,419,917.32
Step by Step Solution
- Step 1: Write the proportion equation
394,815,786,743.14 : 544,845,785,705.48 = 225,843,057,911.12 : x - Step 2: Convert to fraction form
394,815,786,743.14/544,845,785,705.48 = 225,843,057,911.12/x - Step 3: Cross multiply
394,815,786,743.14x = 544,845,785,705.48 × 225,843,057,911.12 - Step 4: Simplify right side
394,815,786,743.14x = 123,049,638,333,712,387,014,656 - Step 5: Solve for x
x = 123,049,638,333,712,387,014,656/394,815,786,743.14 - Step 6: Final answer
x = 311,663,419,917.32
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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.