Finding the Fourth Proportional to 398,216.20, 597,497.10 and 201,224.20
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Solution
The fourth proportional to 398,216.20, 597,497.10 and 201,224.20 is: 301,923.62
Step by Step Solution
- Step 1: Write the proportion equation
398,216.20 : 597,497.10 = 201,224.20 : x - Step 2: Convert to fraction form
398,216.20/597,497.10 = 201,224.20/x - Step 3: Cross multiply
398,216.20x = 597,497.10 × 201,224.20 - Step 4: Simplify right side
398,216.20x = 120,230,875,949.82 - Step 5: Solve for x
x = 120,230,875,949.82/398,216.20 - Step 6: Final answer
x = 301,923.62
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.