Finding the Fourth Proportional to 743,557,588,561.05, 1,115,845,852,826.30 and 259,511,808,761.98
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Solution
The fourth proportional to 743,557,588,561.05, 1,115,845,852,826.30 and 259,511,808,761.98 is: 389,445,525,163.56
Step by Step Solution
- Step 1: Write the proportion equation
743,557,588,561.05 : 1,115,845,852,826.30 = 259,511,808,761.98 : x - Step 2: Convert to fraction form
743,557,588,561.05/1,115,845,852,826.30 = 259,511,808,761.98/x - Step 3: Cross multiply
743,557,588,561.05x = 1,115,845,852,826.30 × 259,511,808,761.98 - Step 4: Simplify right side
743,557,588,561.05x = 289,575,175,566,507,261,296,640 - Step 5: Solve for x
x = 289,575,175,566,507,261,296,640/743,557,588,561.05 - Step 6: Final answer
x = 389,445,525,163.56
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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.