Finding the Fourth Proportional to 301,786.86, 416,309.70 and 204,995.70
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Solution
The fourth proportional to 301,786.86, 416,309.70 and 204,995.70 is: 282,787.99
Step by Step Solution
- Step 1: Write the proportion equation
301,786.86 : 416,309.70 = 204,995.70 : x - Step 2: Convert to fraction form
301,786.86/416,309.70 = 204,995.70/x - Step 3: Cross multiply
301,786.86x = 416,309.70 × 204,995.70 - Step 4: Simplify right side
301,786.86x = 85,341,698,368.29 - Step 5: Solve for x
x = 85,341,698,368.29/301,786.86 - Step 6: Final answer
x = 282,787.99
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1.5x scale
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.