Finding the Fourth Proportional to 401,277,400,894.88, 601,972,644,163.14 and 128,910,320,868.75
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Solution
The fourth proportional to 401,277,400,894.88, 601,972,644,163.14 and 128,910,320,868.75 is: 193,383,645,678.09
Step by Step Solution
- Step 1: Write the proportion equation
401,277,400,894.88 : 601,972,644,163.14 = 128,910,320,868.75 : x - Step 2: Convert to fraction form
401,277,400,894.88/601,972,644,163.14 = 128,910,320,868.75/x - Step 3: Cross multiply
401,277,400,894.88x = 601,972,644,163.14 × 128,910,320,868.75 - Step 4: Simplify right side
401,277,400,894.88x = 77,600,486,713,280,245,530,624 - Step 5: Solve for x
x = 77,600,486,713,280,245,530,624/401,277,400,894.88 - Step 6: Final answer
x = 193,383,645,678.09
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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.