Finding the Fourth Proportional to 282,923.40, 424,121.42 and 194,218.68
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Solution
The fourth proportional to 282,923.40, 424,121.42 and 194,218.68 is: 291,147.01
Step by Step Solution
- Step 1: Write the proportion equation
282,923.40 : 424,121.42 = 194,218.68 : x - Step 2: Convert to fraction form
282,923.40/424,121.42 = 194,218.68/x - Step 3: Cross multiply
282,923.40x = 424,121.42 × 194,218.68 - Step 4: Simplify right side
282,923.40x = 82,372,302,352.13 - Step 5: Solve for x
x = 82,372,302,352.13/282,923.40 - Step 6: Final answer
x = 291,147.01
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.