Finding the Fourth Proportional to 430,057.25, 645,163.64 and 177,197.06
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Solution
The fourth proportional to 430,057.25, 645,163.64 and 177,197.06 is: 265,827.64
Step by Step Solution
- Step 1: Write the proportion equation
430,057.25 : 645,163.64 = 177,197.06 : x - Step 2: Convert to fraction form
430,057.25/645,163.64 = 177,197.06/x - Step 3: Cross multiply
430,057.25x = 645,163.64 × 177,197.06 - Step 4: Simplify right side
430,057.25x = 114,321,101,618.31 - Step 5: Solve for x
x = 114,321,101,618.31/430,057.25 - Step 6: Final answer
x = 265,827.64
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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.