Finding the Fourth Proportional to 1,642,142,175.84, 2,266,138,142.64 and 889,436,625.12
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Solution
The fourth proportional to 1,642,142,175.84, 2,266,138,142.64 and 889,436,625.12 is: 1,227,412,760.78
Step by Step Solution
- Step 1: Write the proportion equation
1,642,142,175.84 : 2,266,138,142.64 = 889,436,625.12 : x - Step 2: Convert to fraction form
1,642,142,175.84/2,266,138,142.64 = 889,436,625.12/x - Step 3: Cross multiply
1,642,142,175.84x = 2,266,138,142.64 × 889,436,625.12 - Step 4: Simplify right side
1,642,142,175.84x = 2,015,586,261,645,426,688 - Step 5: Solve for x
x = 2,015,586,261,645,426,688/1,642,142,175.84 - Step 6: Final answer
x = 1,227,412,760.78
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1.5x scale
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.