Finding the Fourth Proportional to 282,412.07, 423,715.30 and 177,107.75
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Solution
The fourth proportional to 282,412.07, 423,715.30 and 177,107.75 is: 265,722.58
Step by Step Solution
- Step 1: Write the proportion equation
282,412.07 : 423,715.30 = 177,107.75 : x - Step 2: Convert to fraction form
282,412.07/423,715.30 = 177,107.75/x - Step 3: Cross multiply
282,412.07x = 423,715.30 × 177,107.75 - Step 4: Simplify right side
282,412.07x = 75,043,261,305.00 - Step 5: Solve for x
x = 75,043,261,305.00/282,412.07 - Step 6: Final answer
x = 265,722.58
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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.