Finding the Fourth Proportional to 209,385.36, 313,958.70 and 142,905.96
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Solution
The fourth proportional to 209,385.36, 313,958.70 and 142,905.96 is: 214,277.49
Step by Step Solution
- Step 1: Write the proportion equation
209,385.36 : 313,958.70 = 142,905.96 : x - Step 2: Convert to fraction form
209,385.36/313,958.70 = 142,905.96/x - Step 3: Cross multiply
209,385.36x = 313,958.70 × 142,905.96 - Step 4: Simplify right side
209,385.36x = 44,866,569,423.85 - Step 5: Solve for x
x = 44,866,569,423.85/209,385.36 - Step 6: Final answer
x = 214,277.49
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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.