Finding the Fourth Proportional to 405,966.24, 560,768.88 and 311,638.56
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Solution
The fourth proportional to 405,966.24, 560,768.88 and 311,638.56 is: 430,472.26
Step by Step Solution
- Step 1: Write the proportion equation
405,966.24 : 560,768.88 = 311,638.56 : x - Step 2: Convert to fraction form
405,966.24/560,768.88 = 311,638.56/x - Step 3: Cross multiply
405,966.24x = 560,768.88 × 311,638.56 - Step 4: Simplify right side
405,966.24x = 174,757,206,256.01 - Step 5: Solve for x
x = 174,757,206,256.01/405,966.24 - Step 6: Final answer
x = 430,472.26
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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.