Finding the Fourth Proportional to 1,743,241,414.74, 2,405,586,207.52 and 990,455,155.62
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Solution
The fourth proportional to 1,743,241,414.74, 2,405,586,207.52 and 990,455,155.62 is: 1,366,778,715.43
Step by Step Solution
- Step 1: Write the proportion equation
1,743,241,414.74 : 2,405,586,207.52 = 990,455,155.62 : x - Step 2: Convert to fraction form
1,743,241,414.74/2,405,586,207.52 = 990,455,155.62/x - Step 3: Cross multiply
1,743,241,414.74x = 2,405,586,207.52 × 990,455,155.62 - Step 4: Simplify right side
1,743,241,414.74x = 2,382,625,261,526,547,456 - Step 5: Solve for x
x = 2,382,625,261,526,547,456/1,743,241,414.74 - Step 6: Final answer
x = 1,366,778,715.43
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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.