Finding the Fourth Proportional to 743,557,588,563.30, 1,115,845,852,829.70 and 259,511,808,764.23
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Solution
The fourth proportional to 743,557,588,563.30, 1,115,845,852,829.70 and 259,511,808,764.23 is: 389,445,525,166.94
Step by Step Solution
- Step 1: Write the proportion equation
743,557,588,563.30 : 1,115,845,852,829.70 = 259,511,808,764.23 : x - Step 2: Convert to fraction form
743,557,588,563.30/1,115,845,852,829.70 = 259,511,808,764.23/x - Step 3: Cross multiply
743,557,588,563.30x = 1,115,845,852,829.70 × 259,511,808,764.23 - Step 4: Simplify right side
743,557,588,563.30x = 289,575,175,569,900,251,906,048 - Step 5: Solve for x
x = 289,575,175,569,900,251,906,048/743,557,588,563.30 - Step 6: Final answer
x = 389,445,525,166.94
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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.