Finding the Fourth Proportional to 682,645.96, 1,023,983.70 and 209,320.84
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Solution
The fourth proportional to 682,645.96, 1,023,983.70 and 209,320.84 is: 313,985.79
Step by Step Solution
- Step 1: Write the proportion equation
682,645.96 : 1,023,983.70 = 209,320.84 : x - Step 2: Convert to fraction form
682,645.96/1,023,983.70 = 209,320.84/x - Step 3: Cross multiply
682,645.96x = 1,023,983.70 × 209,320.84 - Step 4: Simplify right side
682,645.96x = 214,341,128,230.31 - Step 5: Solve for x
x = 214,341,128,230.31/682,645.96 - Step 6: Final answer
x = 313,985.79
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.