Finding the Fourth Proportional to 274,082.36, 411,014.53 and 105,509.08
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Solution
The fourth proportional to 274,082.36, 411,014.53 and 105,509.08 is: 158,221.66
Step by Step Solution
- Step 1: Write the proportion equation
274,082.36 : 411,014.53 = 105,509.08 : x - Step 2: Convert to fraction form
274,082.36/411,014.53 = 105,509.08/x - Step 3: Cross multiply
274,082.36x = 411,014.53 × 105,509.08 - Step 4: Simplify right side
274,082.36x = 43,365,765,275.84 - Step 5: Solve for x
x = 43,365,765,275.84/274,082.36 - Step 6: Final answer
x = 158,221.66
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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.