Finding the Fourth Proportional to 214,135.20, 320,511.60 and 197,546.40
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Solution
The fourth proportional to 214,135.20, 320,511.60 and 197,546.40 is: 295,681.95
Step by Step Solution
- Step 1: Write the proportion equation
214,135.20 : 320,511.60 = 197,546.40 : x - Step 2: Convert to fraction form
214,135.20/320,511.60 = 197,546.40/x - Step 3: Cross multiply
214,135.20x = 320,511.60 × 197,546.40 - Step 4: Simplify right side
214,135.20x = 63,315,912,738.24 - Step 5: Solve for x
x = 63,315,912,738.24/214,135.20 - Step 6: Final answer
x = 295,681.95
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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.