Finding the Fourth Proportional to 763,923,261,082.74, 1,054,217,377,757.90 and 416,701,106,792.07
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Solution
The fourth proportional to 763,923,261,082.74, 1,054,217,377,757.90 and 416,701,106,792.07 is: 575,049,315,147.86
Step by Step Solution
- Step 1: Write the proportion equation
763,923,261,082.74 : 1,054,217,377,757.90 = 416,701,106,792.07 : x - Step 2: Convert to fraction form
763,923,261,082.74/1,054,217,377,757.90 = 416,701,106,792.07/x - Step 3: Cross multiply
763,923,261,082.74x = 1,054,217,377,757.90 × 416,701,106,792.07 - Step 4: Simplify right side
763,923,261,082.74x = 439,293,548,111,150,687,715,328 - Step 5: Solve for x
x = 439,293,548,111,150,687,715,328/763,923,261,082.74 - Step 6: Final answer
x = 575,049,315,147.86
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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.