Finding the Fourth Proportional to 686,021.85, 946,408.59 and 413,937.99
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Solution
The fourth proportional to 686,021.85, 946,408.59 and 413,937.99 is: 571,052.47
Step by Step Solution
- Step 1: Write the proportion equation
686,021.85 : 946,408.59 = 413,937.99 : x - Step 2: Convert to fraction form
686,021.85/946,408.59 = 413,937.99/x - Step 3: Cross multiply
686,021.85x = 946,408.59 × 413,937.99 - Step 4: Simplify right side
686,021.85x = 391,754,469,463.33 - Step 5: Solve for x
x = 391,754,469,463.33/686,021.85 - Step 6: Final answer
x = 571,052.47
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1.5x scale
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.