Finding the Fourth Proportional to 1,471,175,772.16, 2,206,990,406.40 and 501,600,640
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Solution
The fourth proportional to 1,471,175,772.16, 2,206,990,406.40 and 501,600,640 is: 752,478,270.29
Step by Step Solution
- Step 1: Write the proportion equation
1,471,175,772.16 : 2,206,990,406.40 = 501,600,640 : x - Step 2: Convert to fraction form
1,471,175,772.16/2,206,990,406.40 = 501,600,640/x - Step 3: Cross multiply
1,471,175,772.16x = 2,206,990,406.40 × 501,600,640 - Step 4: Simplify right side
1,471,175,772.16x = 1,107,027,800,324,100,096 - Step 5: Solve for x
x = 1,107,027,800,324,100,096/1,471,175,772.16 - Step 6: Final answer
x = 752,478,270.29
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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.