Finding the Fourth Proportional to 284,109.62, 392,218.67 and 207,542.75
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Solution
The fourth proportional to 284,109.62, 392,218.67 and 207,542.75 is: 286,516.67
Step by Step Solution
- Step 1: Write the proportion equation
284,109.62 : 392,218.67 = 207,542.75 : x - Step 2: Convert to fraction form
284,109.62/392,218.67 = 207,542.75/x - Step 3: Cross multiply
284,109.62x = 392,218.67 × 207,542.75 - Step 4: Simplify right side
284,109.62x = 81,402,139,930.91 - Step 5: Solve for x
x = 81,402,139,930.91/284,109.62 - Step 6: Final answer
x = 286,516.67
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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.