Finding the Fourth Proportional to 420,523.65, 580,064.09 and 299,704.05
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Solution
The fourth proportional to 420,523.65, 580,064.09 and 299,704.05 is: 413,407.32
Step by Step Solution
- Step 1: Write the proportion equation
420,523.65 : 580,064.09 = 299,704.05 : x - Step 2: Convert to fraction form
420,523.65/580,064.09 = 299,704.05/x - Step 3: Cross multiply
420,523.65x = 580,064.09 × 299,704.05 - Step 4: Simplify right side
420,523.65x = 173,847,555,534.04 - Step 5: Solve for x
x = 173,847,555,534.04/420,523.65 - Step 6: Final answer
x = 413,407.32
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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.