Finding the Fourth Proportional to 1,689,165,601.12, 2,530,449,826.14 and 802,589,284.12
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Solution
The fourth proportional to 1,689,165,601.12, 2,530,449,826.14 and 802,589,284.12 is: 1,202,316,642.68
Step by Step Solution
- Step 1: Write the proportion equation
1,689,165,601.12 : 2,530,449,826.14 = 802,589,284.12 : x - Step 2: Convert to fraction form
1,689,165,601.12/2,530,449,826.14 = 802,589,284.12/x - Step 3: Cross multiply
1,689,165,601.12x = 2,530,449,826.14 × 802,589,284.12 - Step 4: Simplify right side
1,689,165,601.12x = 2,030,911,914,463,280,896 - Step 5: Solve for x
x = 2,030,911,914,463,280,896/1,689,165,601.12 - Step 6: Final answer
x = 1,202,316,642.68
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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.