Finding the Fourth Proportional to 405,972.24, 560,777.16 and 311,644.56
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Solution
The fourth proportional to 405,972.24, 560,777.16 and 311,644.56 is: 430,480.55
Step by Step Solution
- Step 1: Write the proportion equation
405,972.24 : 560,777.16 = 311,644.56 : x - Step 2: Convert to fraction form
405,972.24/560,777.16 = 311,644.56/x - Step 3: Cross multiply
405,972.24x = 560,777.16 × 311,644.56 - Step 4: Simplify right side
405,972.24x = 174,763,151,286.25 - Step 5: Solve for x
x = 174,763,151,286.25/405,972.24 - Step 6: Final answer
x = 430,480.55
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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.