Finding the Fourth Proportional to 1,656,786,805.74, 2,286,414,382.81 and 904,148,577.02
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Solution
The fourth proportional to 1,656,786,805.74, 2,286,414,382.81 and 904,148,577.02 is: 1,247,751,553.51
Step by Step Solution
- Step 1: Write the proportion equation
1,656,786,805.74 : 2,286,414,382.81 = 904,148,577.02 : x - Step 2: Convert to fraction form
1,656,786,805.74/2,286,414,382.81 = 904,148,577.02/x - Step 3: Cross multiply
1,656,786,805.74x = 2,286,414,382.81 × 904,148,577.02 - Step 4: Simplify right side
1,656,786,805.74x = 2,067,258,310,695,723,008 - Step 5: Solve for x
x = 2,067,258,310,695,723,008/1,656,786,805.74 - Step 6: Final answer
x = 1,247,751,553.51
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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.