Finding the Fourth Proportional to 1,295,383,716.26, 1,943,081,239.41 and 410,073,398.53
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Solution
The fourth proportional to 1,295,383,716.26, 1,943,081,239.41 and 410,073,398.53 is: 615,111,891.14
Step by Step Solution
- Step 1: Write the proportion equation
1,295,383,716.26 : 1,943,081,239.41 = 410,073,398.53 : x - Step 2: Convert to fraction form
1,295,383,716.26/1,943,081,239.41 = 410,073,398.53/x - Step 3: Cross multiply
1,295,383,716.26x = 1,943,081,239.41 × 410,073,398.53 - Step 4: Simplify right side
1,295,383,716.26x = 796,805,927,459,885,568 - Step 5: Solve for x
x = 796,805,927,459,885,568/1,295,383,716.26 - Step 6: Final answer
x = 615,111,891.14
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1.5x scale
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.