Finding the Fourth Proportional to 728,765.20, 1,005,697.74 and 406,496.18
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Solution
The fourth proportional to 728,765.20, 1,005,697.74 and 406,496.18 is: 560,965.71
Step by Step Solution
- Step 1: Write the proportion equation
728,765.20 : 1,005,697.74 = 406,496.18 : x - Step 2: Convert to fraction form
728,765.20/1,005,697.74 = 406,496.18/x - Step 3: Cross multiply
728,765.20x = 1,005,697.74 × 406,496.18 - Step 4: Simplify right side
728,765.20x = 408,812,289,544.63 - Step 5: Solve for x
x = 408,812,289,544.63/728,765.20 - Step 6: Final answer
x = 560,965.71
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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.