Finding the Fourth Proportional to 314,023.43, 433,393.69 and 305,473.98
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Solution
The fourth proportional to 314,023.43, 433,393.69 and 305,473.98 is: 421,594.32
Step by Step Solution
- Step 1: Write the proportion equation
314,023.43 : 433,393.69 = 305,473.98 : x - Step 2: Convert to fraction form
314,023.43/433,393.69 = 305,473.98/x - Step 3: Cross multiply
314,023.43x = 433,393.69 × 305,473.98 - Step 4: Simplify right side
314,023.43x = 132,390,496,825.49 - Step 5: Solve for x
x = 132,390,496,825.49/314,023.43 - Step 6: Final answer
x = 421,594.32
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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.