Finding the Fourth Proportional to 416,405.87, 574,639.98 and 225,419.12
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Solution
The fourth proportional to 416,405.87, 574,639.98 and 225,419.12 is: 311,078.32
Step by Step Solution
- Step 1: Write the proportion equation
416,405.87 : 574,639.98 = 225,419.12 : x - Step 2: Convert to fraction form
416,405.87/574,639.98 = 225,419.12/x - Step 3: Cross multiply
416,405.87x = 574,639.98 × 225,419.12 - Step 4: Simplify right side
416,405.87x = 129,534,838,608.42 - Step 5: Solve for x
x = 129,534,838,608.42/416,405.87 - Step 6: Final answer
x = 311,078.32
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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.