Finding the Fourth Proportional to 301,909.71, 416,639.68 and 165,956.23
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Solution
The fourth proportional to 301,909.71, 416,639.68 and 165,956.23 is: 229,021.95
Step by Step Solution
- Step 1: Write the proportion equation
301,909.71 : 416,639.68 = 165,956.23 : x - Step 2: Convert to fraction form
301,909.71/416,639.68 = 165,956.23/x - Step 3: Cross multiply
301,909.71x = 416,639.68 × 165,956.23 - Step 4: Simplify right side
301,909.71x = 69,143,951,600.62 - Step 5: Solve for x
x = 69,143,951,600.62/301,909.71 - Step 6: Final answer
x = 229,021.95
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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.