Finding the Fourth Proportional to 416,419,163.82, 574,658,452.26 and 230,792,136.93
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Solution
The fourth proportional to 416,419,163.82, 574,658,452.26 and 230,792,136.93 is: 318,493,152.39
Step by Step Solution
- Step 1: Write the proportion equation
416,419,163.82 : 574,658,452.26 = 230,792,136.93 : x - Step 2: Convert to fraction form
416,419,163.82/574,658,452.26 = 230,792,136.93/x - Step 3: Cross multiply
416,419,163.82x = 574,658,452.26 × 230,792,136.93 - Step 4: Simplify right side
416,419,163.82x = 132,626,652,201,971,792 - Step 5: Solve for x
x = 132,626,652,201,971,792/416,419,163.82 - Step 6: Final answer
x = 318,493,152.39
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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.