Finding the Fourth Proportional to 415,115.20, 622,672.80 and 205,163.20
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Solution
The fourth proportional to 415,115.20, 622,672.80 and 205,163.20 is: 307,744.80
Step by Step Solution
- Step 1: Write the proportion equation
415,115.20 : 622,672.80 = 205,163.20 : x - Step 2: Convert to fraction form
415,115.20/622,672.80 = 205,163.20/x - Step 3: Cross multiply
415,115.20x = 622,672.80 × 205,163.20 - Step 4: Simplify right side
415,115.20x = 127,749,544,200.96 - Step 5: Solve for x
x = 127,749,544,200.96/415,115.20 - Step 6: Final answer
x = 307,744.80
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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.