Finding the Fourth Proportional to 284,907.07, 427,458.12 and 107,464.81
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Solution
The fourth proportional to 284,907.07, 427,458.12 and 107,464.81 is: 161,234.00
Step by Step Solution
- Step 1: Write the proportion equation
284,907.07 : 427,458.12 = 107,464.81 : x - Step 2: Convert to fraction form
284,907.07/427,458.12 = 107,464.81/x - Step 3: Cross multiply
284,907.07x = 427,458.12 × 107,464.81 - Step 4: Simplify right side
284,907.07x = 45,936,705,648.76 - Step 5: Solve for x
x = 45,936,705,648.76/284,907.07 - Step 6: Final answer
x = 161,234.00
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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.