Finding the Fourth Proportional to 280,167,144.53, 420,505,737.66 and 149,119,440.44
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Solution
The fourth proportional to 280,167,144.53, 420,505,737.66 and 149,119,440.44 is: 223,814,895.95
Step by Step Solution
- Step 1: Write the proportion equation
280,167,144.53 : 420,505,737.66 = 149,119,440.44 : x - Step 2: Convert to fraction form
280,167,144.53/420,505,737.66 = 149,119,440.44/x - Step 3: Cross multiply
280,167,144.53x = 420,505,737.66 × 149,119,440.44 - Step 4: Simplify right side
280,167,144.53x = 62,705,580,299,566,112 - Step 5: Solve for x
x = 62,705,580,299,566,112/280,167,144.53 - Step 6: Final answer
x = 223,814,895.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.