Finding the Fourth Proportional to 226,098.84, 311,952.42 and 145,572.96
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Solution
The fourth proportional to 226,098.84, 311,952.42 and 145,572.96 is: 200,849.49
Step by Step Solution
- Step 1: Write the proportion equation
226,098.84 : 311,952.42 = 145,572.96 : x - Step 2: Convert to fraction form
226,098.84/311,952.42 = 145,572.96/x - Step 3: Cross multiply
226,098.84x = 311,952.42 × 145,572.96 - Step 4: Simplify right side
226,098.84x = 45,411,837,158.56 - Step 5: Solve for x
x = 45,411,837,158.56/226,098.84 - Step 6: Final answer
x = 200,849.49
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.