Finding the Fourth Proportional to 296,418.46, 409,057.71 and 160,451.98
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Solution
The fourth proportional to 296,418.46, 409,057.71 and 160,451.98 is: 221,423.87
Step by Step Solution
- Step 1: Write the proportion equation
296,418.46 : 409,057.71 = 160,451.98 : x - Step 2: Convert to fraction form
296,418.46/409,057.71 = 160,451.98/x - Step 3: Cross multiply
296,418.46x = 409,057.71 × 160,451.98 - Step 4: Simplify right side
296,418.46x = 65,634,121,082.92 - Step 5: Solve for x
x = 65,634,121,082.92/296,418.46 - Step 6: Final answer
x = 221,423.87
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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.