Finding the Fourth Proportional to 551,313,848,383.75, 826,972,324,008 and 211,457,202,659.60
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Solution
The fourth proportional to 551,313,848,383.75, 826,972,324,008 and 211,457,202,659.60 is: 317,186,399,043.47
Step by Step Solution
- Step 1: Write the proportion equation
551,313,848,383.75 : 826,972,324,008 = 211,457,202,659.60 : x - Step 2: Convert to fraction form
551,313,848,383.75/826,972,324,008 = 211,457,202,659.60/x - Step 3: Cross multiply
551,313,848,383.75x = 826,972,324,008 × 211,457,202,659.60 - Step 4: Simplify right side
551,313,848,383.75x = 174,869,254,311,640,039,424,000 - Step 5: Solve for x
x = 174,869,254,311,640,039,424,000/551,313,848,383.75 - Step 6: Final answer
x = 317,186,399,043.47
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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.