Finding the Fourth Proportional to 431,199.86, 590,745.92 and 415,038.53
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Solution
The fourth proportional to 431,199.86, 590,745.92 and 415,038.53 is: 568,604.81
Step by Step Solution
- Step 1: Write the proportion equation
431,199.86 : 590,745.92 = 415,038.53 : x - Step 2: Convert to fraction form
431,199.86/590,745.92 = 415,038.53/x - Step 3: Cross multiply
431,199.86x = 590,745.92 × 415,038.53 - Step 4: Simplify right side
431,199.86x = 245,182,313,211.38 - Step 5: Solve for x
x = 245,182,313,211.38/431,199.86 - Step 6: Final answer
x = 568,604.81
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.