Finding the Fourth Proportional to 513,855.86, 709,122.47 and 284,428.94
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Solution
The fourth proportional to 513,855.86, 709,122.47 and 284,428.94 is: 392,512.70
Step by Step Solution
- Step 1: Write the proportion equation
513,855.86 : 709,122.47 = 284,428.94 : x - Step 2: Convert to fraction form
513,855.86/709,122.47 = 284,428.94/x - Step 3: Cross multiply
513,855.86x = 709,122.47 × 284,428.94 - Step 4: Simplify right side
513,855.86x = 201,694,947,504.53 - Step 5: Solve for x
x = 201,694,947,504.53/513,855.86 - Step 6: Final answer
x = 392,512.70
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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.