Finding the Fourth Proportional to 312,635.10, 431,585.20 and 209,446.98
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Solution
The fourth proportional to 312,635.10, 431,585.20 and 209,446.98 is: 289,136.49
Step by Step Solution
- Step 1: Write the proportion equation
312,635.10 : 431,585.20 = 209,446.98 : x - Step 2: Convert to fraction form
312,635.10/431,585.20 = 209,446.98/x - Step 3: Cross multiply
312,635.10x = 431,585.20 × 209,446.98 - Step 4: Simplify right side
312,635.10x = 90,394,215,396.06 - Step 5: Solve for x
x = 90,394,215,396.06/312,635.10 - Step 6: Final answer
x = 289,136.49
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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.