Finding the Fourth Proportional to 284,288,622,817.28, 426,428,629,591.68 and 69,159,190,888.96
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Solution
The fourth proportional to 284,288,622,817.28, 426,428,629,591.68 and 69,159,190,888.96 is: 103,737,739,140.56
Step by Step Solution
- Step 1: Write the proportion equation
284,288,622,817.28 : 426,428,629,591.68 = 69,159,190,888.96 : x - Step 2: Convert to fraction form
284,288,622,817.28/426,428,629,591.68 = 69,159,190,888.96/x - Step 3: Cross multiply
284,288,622,817.28x = 426,428,629,591.68 × 69,159,190,888.96 - Step 4: Simplify right side
284,288,622,817.28x = 29,491,458,994,448,615,079,936 - Step 5: Solve for x
x = 29,491,458,994,448,615,079,936/284,288,622,817.28 - Step 6: Final answer
x = 103,737,739,140.56
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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.