Finding the Fourth Proportional to 728,772.12, 1,005,706.89 and 406,503.09
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Solution
The fourth proportional to 728,772.12, 1,005,706.89 and 406,503.09 is: 560,975.03
Step by Step Solution
- Step 1: Write the proportion equation
728,772.12 : 1,005,706.89 = 406,503.09 : x - Step 2: Convert to fraction form
728,772.12/1,005,706.89 = 406,503.09/x - Step 3: Cross multiply
728,772.12x = 1,005,706.89 × 406,503.09 - Step 4: Simplify right side
728,772.12x = 408,822,958,419.29 - Step 5: Solve for x
x = 408,822,958,419.29/728,772.12 - Step 6: Final answer
x = 560,975.03
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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.