Finding the Fourth Proportional to 1,724,874,134.60, 2,587,311,201.90 and 498,082,608.20
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Solution
The fourth proportional to 1,724,874,134.60, 2,587,311,201.90 and 498,082,608.20 is: 747,123,912.30
Step by Step Solution
- Step 1: Write the proportion equation
1,724,874,134.60 : 2,587,311,201.90 = 498,082,608.20 : x - Step 2: Convert to fraction form
1,724,874,134.60/2,587,311,201.90 = 498,082,608.20/x - Step 3: Cross multiply
1,724,874,134.60x = 2,587,311,201.90 × 498,082,608.20 - Step 4: Simplify right side
1,724,874,134.60x = 1,288,694,711,667,428,864 - Step 5: Solve for x
x = 1,288,694,711,667,428,864/1,724,874,134.60 - Step 6: Final answer
x = 747,123,912.30
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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.