Finding the Fourth Proportional to 270,902.10, 405,964.35 and 199,265.70
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Solution
The fourth proportional to 270,902.10, 405,964.35 and 199,265.70 is: 298,612.56
Step by Step Solution
- Step 1: Write the proportion equation
270,902.10 : 405,964.35 = 199,265.70 : x - Step 2: Convert to fraction form
270,902.10/405,964.35 = 199,265.70/x - Step 3: Cross multiply
270,902.10x = 405,964.35 × 199,265.70 - Step 4: Simplify right side
270,902.10x = 80,894,770,377.80 - Step 5: Solve for x
x = 80,894,770,377.80/270,902.10 - Step 6: Final answer
x = 298,612.56
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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.