Finding the Fourth Proportional to 821,964.14, 1,233,045.84 and 289,376.18
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Solution
The fourth proportional to 821,964.14, 1,233,045.84 and 289,376.18 is: 434,099.35
Step by Step Solution
- Step 1: Write the proportion equation
821,964.14 : 1,233,045.84 = 289,376.18 : x - Step 2: Convert to fraction form
821,964.14/1,233,045.84 = 289,376.18/x - Step 3: Cross multiply
821,964.14x = 1,233,045.84 × 289,376.18 - Step 4: Simplify right side
821,964.14x = 356,814,094,944.09 - Step 5: Solve for x
x = 356,814,094,944.09/821,964.14 - Step 6: Final answer
x = 434,099.35
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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.