Finding the Fourth Proportional to 822,004.50, 1,233,006.75 and 231,028.50
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Solution
The fourth proportional to 822,004.50, 1,233,006.75 and 231,028.50 is: 346,542.75
Step by Step Solution
- Step 1: Write the proportion equation
822,004.50 : 1,233,006.75 = 231,028.50 : x - Step 2: Convert to fraction form
822,004.50/1,233,006.75 = 231,028.50/x - Step 3: Cross multiply
822,004.50x = 1,233,006.75 × 231,028.50 - Step 4: Simplify right side
822,004.50x = 284,859,699,942.38 - Step 5: Solve for x
x = 284,859,699,942.38/822,004.50 - Step 6: Final answer
x = 346,542.75
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Similar ratio
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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.