Finding the Fourth Proportional to 1,471,475,280.36, 2,207,959,299.74 and 816,305,367.72
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Solution
The fourth proportional to 1,471,475,280.36, 2,207,959,299.74 and 816,305,367.72 is: 1,224,872,107.70
Step by Step Solution
- Step 1: Write the proportion equation
1,471,475,280.36 : 2,207,959,299.74 = 816,305,367.72 : x - Step 2: Convert to fraction form
1,471,475,280.36/2,207,959,299.74 = 816,305,367.72/x - Step 3: Cross multiply
1,471,475,280.36x = 2,207,959,299.74 × 816,305,367.72 - Step 4: Simplify right side
1,471,475,280.36x = 1,802,369,028,085,054,208 - Step 5: Solve for x
x = 1,802,369,028,085,054,208/1,471,475,280.36 - Step 6: Final answer
x = 1,224,872,107.70
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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.