Finding the Fourth Proportional to 263,173,084,382.80, 394,985,366,964.60 and 106,251,264,427.60
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Solution
The fourth proportional to 263,173,084,382.80, 394,985,366,964.60 and 106,251,264,427.60 is: 159,468,035,148.09
Step by Step Solution
- Step 1: Write the proportion equation
263,173,084,382.80 : 394,985,366,964.60 = 106,251,264,427.60 : x - Step 2: Convert to fraction form
263,173,084,382.80/394,985,366,964.60 = 106,251,264,427.60/x - Step 3: Cross multiply
263,173,084,382.80x = 394,985,366,964.60 × 106,251,264,427.60 - Step 4: Simplify right side
263,173,084,382.80x = 41,967,694,670,388,334,166,016 - Step 5: Solve for x
x = 41,967,694,670,388,334,166,016/263,173,084,382.80 - Step 6: Final answer
x = 159,468,035,148.09
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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.