Finding the Fourth Proportional to 306,004,609.86, 422,275,558.41 and 166,772,608.26
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Solution
The fourth proportional to 306,004,609.86, 422,275,558.41 and 166,772,608.26 is: 230,140,311.65
Step by Step Solution
- Step 1: Write the proportion equation
306,004,609.86 : 422,275,558.41 = 166,772,608.26 : x - Step 2: Convert to fraction form
306,004,609.86/422,275,558.41 = 166,772,608.26/x - Step 3: Cross multiply
306,004,609.86x = 422,275,558.41 × 166,772,608.26 - Step 4: Simplify right side
306,004,609.86x = 70,423,996,280,483,680 - Step 5: Solve for x
x = 70,423,996,280,483,680/306,004,609.86 - Step 6: Final answer
x = 230,140,311.65
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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.