Finding the Fourth Proportional to 230,438,114.54, 318,029,242.21 and 141,189,287.99
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Solution
The fourth proportional to 230,438,114.54, 318,029,242.21 and 141,189,287.99 is: 194,856,316.88
Step by Step Solution
- Step 1: Write the proportion equation
230,438,114.54 : 318,029,242.21 = 141,189,287.99 : x - Step 2: Convert to fraction form
230,438,114.54/318,029,242.21 = 141,189,287.99/x - Step 3: Cross multiply
230,438,114.54x = 318,029,242.21 × 141,189,287.99 - Step 4: Simplify right side
230,438,114.54x = 44,902,322,266,923,208 - Step 5: Solve for x
x = 44,902,322,266,923,208/230,438,114.54 - Step 6: Final answer
x = 194,856,316.88
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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.