Finding the Fourth Proportional to 314,339,640.80, 471,509,461.20 and 161,284,632.80
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Solution
The fourth proportional to 314,339,640.80, 471,509,461.20 and 161,284,632.80 is: 241,926,949.20
Step by Step Solution
- Step 1: Write the proportion equation
314,339,640.80 : 471,509,461.20 = 161,284,632.80 : x - Step 2: Convert to fraction form
314,339,640.80/471,509,461.20 = 161,284,632.80/x - Step 3: Cross multiply
314,339,640.80x = 471,509,461.20 × 161,284,632.80 - Step 4: Simplify right side
314,339,640.80x = 76,047,230,311,367,856 - Step 5: Solve for x
x = 76,047,230,311,367,856/314,339,640.80 - Step 6: Final answer
x = 241,926,949.20
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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.