Finding the Fourth Proportional to 301,547.75, 416,157.14 and 199,395.68
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Solution
The fourth proportional to 301,547.75, 416,157.14 and 199,395.68 is: 275,180.09
Step by Step Solution
- Step 1: Write the proportion equation
301,547.75 : 416,157.14 = 199,395.68 : x - Step 2: Convert to fraction form
301,547.75/416,157.14 = 199,395.68/x - Step 3: Cross multiply
301,547.75x = 416,157.14 × 199,395.68 - Step 4: Simplify right side
301,547.75x = 82,979,934,334.86 - Step 5: Solve for x
x = 82,979,934,334.86/301,547.75 - Step 6: Final answer
x = 275,180.09
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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.