Finding the Fourth Proportional to 300,824.26, 415,119.45 and 164,831.14
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Solution
The fourth proportional to 300,824.26, 415,119.45 and 164,831.14 is: 227,457.09
Step by Step Solution
- Step 1: Write the proportion equation
300,824.26 : 415,119.45 = 164,831.14 : x - Step 2: Convert to fraction form
300,824.26/415,119.45 = 164,831.14/x - Step 3: Cross multiply
300,824.26x = 415,119.45 × 164,831.14 - Step 4: Simplify right side
300,824.26x = 68,424,612,179.67 - Step 5: Solve for x
x = 68,424,612,179.67/300,824.26 - Step 6: Final answer
x = 227,457.09
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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.