Finding the Fourth Proportional to 284,113.62, 392,224.19 and 207,546.75
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Solution
The fourth proportional to 284,113.62, 392,224.19 and 207,546.75 is: 286,522.19
Step by Step Solution
- Step 1: Write the proportion equation
284,113.62 : 392,224.19 = 207,546.75 : x - Step 2: Convert to fraction form
284,113.62/392,224.19 = 207,546.75/x - Step 3: Cross multiply
284,113.62x = 392,224.19 × 207,546.75 - Step 4: Simplify right side
284,113.62x = 81,404,855,905.88 - Step 5: Solve for x
x = 81,404,855,905.88/284,113.62 - Step 6: Final answer
x = 286,522.19
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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.