Finding the Fourth Proportional to 296,205.23, 408,761.37 and 160,238.63
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Solution
The fourth proportional to 296,205.23, 408,761.37 and 160,238.63 is: 221,128.31
Step by Step Solution
- Step 1: Write the proportion equation
296,205.23 : 408,761.37 = 160,238.63 : x - Step 2: Convert to fraction form
296,205.23/408,761.37 = 160,238.63/x - Step 3: Cross multiply
296,205.23x = 408,761.37 × 160,238.63 - Step 4: Simplify right side
296,205.23x = 65,499,362,947.63 - Step 5: Solve for x
x = 65,499,362,947.63/296,205.23 - Step 6: Final answer
x = 221,128.31
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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.