Finding the Fourth Proportional to 209,714.10, 289,408.80 and 114,220.80
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Solution
The fourth proportional to 209,714.10, 289,408.80 and 114,220.80 is: 157,626.52
Step by Step Solution
- Step 1: Write the proportion equation
209,714.10 : 289,408.80 = 114,220.80 : x - Step 2: Convert to fraction form
209,714.10/289,408.80 = 114,220.80/x - Step 3: Cross multiply
209,714.10x = 289,408.80 × 114,220.80 - Step 4: Simplify right side
209,714.10x = 33,056,504,663.04 - Step 5: Solve for x
x = 33,056,504,663.04/209,714.10 - Step 6: Final answer
x = 157,626.52
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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.