Finding the Fourth Proportional to 203,821,831.24, 305,430,415.84 and 149,704,603.72
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Solution
The fourth proportional to 203,821,831.24, 305,430,415.84 and 149,704,603.72 is: 224,334,847.20
Step by Step Solution
- Step 1: Write the proportion equation
203,821,831.24 : 305,430,415.84 = 149,704,603.72 : x - Step 2: Convert to fraction form
203,821,831.24/305,430,415.84 = 149,704,603.72/x - Step 3: Cross multiply
203,821,831.24x = 305,430,415.84 × 149,704,603.72 - Step 4: Simplify right side
203,821,831.24x = 45,724,339,366,224,168 - Step 5: Solve for x
x = 45,724,339,366,224,168/203,821,831.24 - Step 6: Final answer
x = 224,334,847.20
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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.