Finding the Fourth Proportional to 318,297,456,990.40, 439,448,724,613.92 and 202,619,486,369.92
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Solution
The fourth proportional to 318,297,456,990.40, 439,448,724,613.92 and 202,619,486,369.92 is: 279,741,081,531.40
Step by Step Solution
- Step 1: Write the proportion equation
318,297,456,990.40 : 439,448,724,613.92 = 202,619,486,369.92 : x - Step 2: Convert to fraction form
318,297,456,990.40/439,448,724,613.92 = 202,619,486,369.92/x - Step 3: Cross multiply
318,297,456,990.40x = 439,448,724,613.92 × 202,619,486,369.92 - Step 4: Simplify right side
318,297,456,990.40x = 89,040,874,867,188,895,318,016 - Step 5: Solve for x
x = 89,040,874,867,188,895,318,016/318,297,456,990.40 - Step 6: Final answer
x = 279,741,081,531.40
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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.