Finding the Fourth Proportional to 1,057,542,407.10, 1,586,313,610.65 and 853,469,063.10
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Solution
The fourth proportional to 1,057,542,407.10, 1,586,313,610.65 and 853,469,063.10 is: 1,280,203,594.65
Step by Step Solution
- Step 1: Write the proportion equation
1,057,542,407.10 : 1,586,313,610.65 = 853,469,063.10 : x - Step 2: Convert to fraction form
1,057,542,407.10/1,586,313,610.65 = 853,469,063.10/x - Step 3: Cross multiply
1,057,542,407.10x = 1,586,313,610.65 × 853,469,063.10 - Step 4: Simplify right side
1,057,542,407.10x = 1,353,869,591,064,233,728 - Step 5: Solve for x
x = 1,353,869,591,064,233,728/1,057,542,407.10 - Step 6: Final answer
x = 1,280,203,594.65
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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.