Finding the Fourth Proportional to 728,829.44, 1,005,786.16 and 406,531.26
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Solution
The fourth proportional to 728,829.44, 1,005,786.16 and 406,531.26 is: 561,013.99
Step by Step Solution
- Step 1: Write the proportion equation
728,829.44 : 1,005,786.16 = 406,531.26 : x - Step 2: Convert to fraction form
728,829.44/1,005,786.16 = 406,531.26/x - Step 3: Cross multiply
728,829.44x = 1,005,786.16 × 406,531.26 - Step 4: Simplify right side
728,829.44x = 408,883,514,915.36 - Step 5: Solve for x
x = 408,883,514,915.36/728,829.44 - Step 6: Final answer
x = 561,013.99
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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.