Finding the Fourth Proportional to 296,077.74, 408,328.99 and 209,866.20
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Solution
The fourth proportional to 296,077.74, 408,328.99 and 209,866.20 is: 289,432.27
Step by Step Solution
- Step 1: Write the proportion equation
296,077.74 : 408,328.99 = 209,866.20 : x - Step 2: Convert to fraction form
296,077.74/408,328.99 = 209,866.20/x - Step 3: Cross multiply
296,077.74x = 408,328.99 × 209,866.20 - Step 4: Simplify right side
296,077.74x = 85,694,453,481.14 - Step 5: Solve for x
x = 85,694,453,481.14/296,077.74 - Step 6: Final answer
x = 289,432.27
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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.