Finding the Fourth Proportional to 296,584.23, 409,284.09 and 160,615.05
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Solution
The fourth proportional to 296,584.23, 409,284.09 and 160,615.05 is: 221,647.61
Step by Step Solution
- Step 1: Write the proportion equation
296,584.23 : 409,284.09 = 160,615.05 : x - Step 2: Convert to fraction form
296,584.23/409,284.09 = 160,615.05/x - Step 3: Cross multiply
296,584.23x = 409,284.09 × 160,615.05 - Step 4: Simplify right side
296,584.23x = 65,737,185,346.96 - Step 5: Solve for x
x = 65,737,185,346.96/296,584.23 - Step 6: Final answer
x = 221,647.61
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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.