Finding the Fourth Proportional to 728,796.68, 1,005,736.74 and 406,506.48
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Solution
The fourth proportional to 728,796.68, 1,005,736.74 and 406,506.48 is: 560,977.45
Step by Step Solution
- Step 1: Write the proportion equation
728,796.68 : 1,005,736.74 = 406,506.48 : x - Step 2: Convert to fraction form
728,796.68/1,005,736.74 = 406,506.48/x - Step 3: Cross multiply
728,796.68x = 1,005,736.74 × 406,506.48 - Step 4: Simplify right side
728,796.68x = 408,838,501,984.08 - Step 5: Solve for x
x = 408,838,501,984.08/728,796.68 - Step 6: Final answer
x = 560,977.45
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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.