Finding the Fourth Proportional to 300,723.41, 414,998.16 and 164,765.99
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Solution
The fourth proportional to 300,723.41, 414,998.16 and 164,765.99 is: 227,376.99
Step by Step Solution
- Step 1: Write the proportion equation
300,723.41 : 414,998.16 = 164,765.99 : x - Step 2: Convert to fraction form
300,723.41/414,998.16 = 164,765.99/x - Step 3: Cross multiply
300,723.41x = 414,998.16 × 164,765.99 - Step 4: Simplify right side
300,723.41x = 68,377,582,680.58 - Step 5: Solve for x
x = 68,377,582,680.58/300,723.41 - Step 6: Final answer
x = 227,376.99
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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.