Finding the Fourth Proportional to 295,975,819.87, 408,025,563.77 and 201,769,072.94
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Solution
The fourth proportional to 295,975,819.87, 408,025,563.77 and 201,769,072.94 is: 278,154,275.49
Step by Step Solution
- Step 1: Write the proportion equation
295,975,819.87 : 408,025,563.77 = 201,769,072.94 : x - Step 2: Convert to fraction form
295,975,819.87/408,025,563.77 = 201,769,072.94/x - Step 3: Cross multiply
295,975,819.87x = 408,025,563.77 × 201,769,072.94 - Step 4: Simplify right side
295,975,819.87x = 82,326,939,739,218,224 - Step 5: Solve for x
x = 82,326,939,739,218,224/295,975,819.87 - Step 6: Final answer
x = 278,154,275.49
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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.