Finding the Fourth Proportional to 2,120,256,879.10, 3,180,385,318.65 and 827,792,367.10
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Solution
The fourth proportional to 2,120,256,879.10, 3,180,385,318.65 and 827,792,367.10 is: 1,241,688,550.65
Step by Step Solution
- Step 1: Write the proportion equation
2,120,256,879.10 : 3,180,385,318.65 = 827,792,367.10 : x - Step 2: Convert to fraction form
2,120,256,879.10/3,180,385,318.65 = 827,792,367.10/x - Step 3: Cross multiply
2,120,256,879.10x = 3,180,385,318.65 × 827,792,367.10 - Step 4: Simplify right side
2,120,256,879.10x = 2,632,698,691,215,371,264 - Step 5: Solve for x
x = 2,632,698,691,215,371,264/2,120,256,879.10 - Step 6: Final answer
x = 1,241,688,550.65
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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.