Finding the Fourth Proportional to 854,747,647,740.81, 1,282,162,706,912 and 281,051,059,411.80
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Solution
The fourth proportional to 854,747,647,740.81, 1,282,162,706,912 and 281,051,059,411.80 is: 421,590,147,768.61
Step by Step Solution
- Step 1: Write the proportion equation
854,747,647,740.81 : 1,282,162,706,912 = 281,051,059,411.80 : x - Step 2: Convert to fraction form
854,747,647,740.81/1,282,162,706,912 = 281,051,059,411.80/x - Step 3: Cross multiply
854,747,647,740.81x = 1,282,162,706,912 × 281,051,059,411.80 - Step 4: Simplify right side
854,747,647,740.81x = 360,353,187,115,918,837,153,792 - Step 5: Solve for x
x = 360,353,187,115,918,837,153,792/854,747,647,740.81 - Step 6: Final answer
x = 421,590,147,768.61
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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.