Finding the Fourth Proportional to 728,114.09, 1,004,802.11 and 405,844.62
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Solution
The fourth proportional to 728,114.09, 1,004,802.11 and 405,844.62 is: 560,068.17
Step by Step Solution
- Step 1: Write the proportion equation
728,114.09 : 1,004,802.11 = 405,844.62 : x - Step 2: Convert to fraction form
728,114.09/1,004,802.11 = 405,844.62/x - Step 3: Cross multiply
728,114.09x = 1,004,802.11 × 405,844.62 - Step 4: Simplify right side
728,114.09x = 407,793,528,478.93 - Step 5: Solve for x
x = 407,793,528,478.93/728,114.09 - Step 6: Final answer
x = 560,068.17
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.