Finding the Fourth Proportional to 284,906.07, 427,456.62 and 107,463.81
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Solution
The fourth proportional to 284,906.07, 427,456.62 and 107,463.81 is: 161,232.50
Step by Step Solution
- Step 1: Write the proportion equation
284,906.07 : 427,456.62 = 107,463.81 : x - Step 2: Convert to fraction form
284,906.07/427,456.62 = 107,463.81/x - Step 3: Cross multiply
284,906.07x = 427,456.62 × 107,463.81 - Step 4: Simplify right side
284,906.07x = 45,936,116,994.92 - Step 5: Solve for x
x = 45,936,116,994.92/284,906.07 - Step 6: Final answer
x = 161,232.50
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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.