Finding the Fourth Proportional to 728,378.10, 1,005,165.99 and 406,108.26
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Solution
The fourth proportional to 728,378.10, 1,005,165.99 and 406,108.26 is: 560,431.75
Step by Step Solution
- Step 1: Write the proportion equation
728,378.10 : 1,005,165.99 = 406,108.26 : x - Step 2: Convert to fraction form
728,378.10/1,005,165.99 = 406,108.26/x - Step 3: Cross multiply
728,378.10x = 1,005,165.99 × 406,108.26 - Step 4: Simplify right side
728,378.10x = 408,206,211,210.08 - Step 5: Solve for x
x = 408,206,211,210.08/728,378.10 - Step 6: Final answer
x = 560,431.75
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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.