Finding the Fourth Proportional to 284,223.68, 392,229.12 and 155,163.20
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Solution
The fourth proportional to 284,223.68, 392,229.12 and 155,163.20 is: 214,125.46
Step by Step Solution
- Step 1: Write the proportion equation
284,223.68 : 392,229.12 = 155,163.20 : x - Step 2: Convert to fraction form
284,223.68/392,229.12 = 155,163.20/x - Step 3: Cross multiply
284,223.68x = 392,229.12 × 155,163.20 - Step 4: Simplify right side
284,223.68x = 60,859,525,392.38 - Step 5: Solve for x
x = 60,859,525,392.38/284,223.68 - Step 6: Final answer
x = 214,125.46
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1.5x scale
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.