Finding the Fourth Proportional to 296,106.24, 408,625.38 and 160,140.30
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Solution
The fourth proportional to 296,106.24, 408,625.38 and 160,140.30 is: 220,992.95
Step by Step Solution
- Step 1: Write the proportion equation
296,106.24 : 408,625.38 = 160,140.30 : x - Step 2: Convert to fraction form
296,106.24/408,625.38 = 160,140.30/x - Step 3: Cross multiply
296,106.24x = 408,625.38 × 160,140.30 - Step 4: Simplify right side
296,106.24x = 65,437,390,940.81 - Step 5: Solve for x
x = 65,437,390,940.81/296,106.24 - Step 6: Final answer
x = 220,992.95
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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.