Finding the Fourth Proportional to 296,902.20, 409,717.26 and 160,930.20
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Solution
The fourth proportional to 296,902.20, 409,717.26 and 160,930.20 is: 222,079.46
Step by Step Solution
- Step 1: Write the proportion equation
296,902.20 : 409,717.26 = 160,930.20 : x - Step 2: Convert to fraction form
296,902.20/409,717.26 = 160,930.20/x - Step 3: Cross multiply
296,902.20x = 409,717.26 × 160,930.20 - Step 4: Simplify right side
296,902.20x = 65,935,880,595.25 - Step 5: Solve for x
x = 65,935,880,595.25/296,902.20 - Step 6: Final answer
x = 222,079.46
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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.