Finding the Fourth Proportional to 299,257.30, 412,918.50 and 178,409.74
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Solution
The fourth proportional to 299,257.30, 412,918.50 and 178,409.74 is: 246,171.71
Step by Step Solution
- Step 1: Write the proportion equation
299,257.30 : 412,918.50 = 178,409.74 : x - Step 2: Convert to fraction form
299,257.30/412,918.50 = 178,409.74/x - Step 3: Cross multiply
299,257.30x = 412,918.50 × 178,409.74 - Step 4: Simplify right side
299,257.30x = 73,668,682,226.19 - Step 5: Solve for x
x = 73,668,682,226.19/299,257.30 - Step 6: Final answer
x = 246,171.71
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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.