Finding the Fourth Proportional to 426,198.40, 588,374.94 and 311,348.14
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Solution
The fourth proportional to 426,198.40, 588,374.94 and 311,348.14 is: 429,821.99
Step by Step Solution
- Step 1: Write the proportion equation
426,198.40 : 588,374.94 = 311,348.14 : x - Step 2: Convert to fraction form
426,198.40/588,374.94 = 311,348.14/x - Step 3: Cross multiply
426,198.40x = 588,374.94 × 311,348.14 - Step 4: Simplify right side
426,198.40x = 183,189,443,191.61 - Step 5: Solve for x
x = 183,189,443,191.61/426,198.40 - Step 6: Final answer
x = 429,821.99
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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.