Finding the Fourth Proportional to 299,512.08, 413,324.64 and 165,376.08
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Solution
The fourth proportional to 299,512.08, 413,324.64 and 165,376.08 is: 228,217.87
Step by Step Solution
- Step 1: Write the proportion equation
299,512.08 : 413,324.64 = 165,376.08 : x - Step 2: Convert to fraction form
299,512.08/413,324.64 = 165,376.08/x - Step 3: Cross multiply
299,512.08x = 413,324.64 × 165,376.08 - Step 4: Simplify right side
299,512.08x = 68,354,008,730.61 - Step 5: Solve for x
x = 68,354,008,730.61/299,512.08 - Step 6: Final answer
x = 228,217.87
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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.