Finding the Fourth Proportional to 278,850.81, 384,782.88 and 157,966.23
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Solution
The fourth proportional to 278,850.81, 384,782.88 and 157,966.23 is: 217,975.70
Step by Step Solution
- Step 1: Write the proportion equation
278,850.81 : 384,782.88 = 157,966.23 : x - Step 2: Convert to fraction form
278,850.81/384,782.88 = 157,966.23/x - Step 3: Cross multiply
278,850.81x = 384,782.88 × 157,966.23 - Step 4: Simplify right side
278,850.81x = 60,782,700,922.14 - Step 5: Solve for x
x = 60,782,700,922.14/278,850.81 - Step 6: Final answer
x = 217,975.70
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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.