Finding the Fourth Proportional to 257,135.20, 385,046.70 and 204,647.20
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Solution
The fourth proportional to 257,135.20, 385,046.70 and 204,647.20 is: 306,448.63
Step by Step Solution
- Step 1: Write the proportion equation
257,135.20 : 385,046.70 = 204,647.20 : x - Step 2: Convert to fraction form
257,135.20/385,046.70 = 204,647.20/x - Step 3: Cross multiply
257,135.20x = 385,046.70 × 204,647.20 - Step 4: Simplify right side
257,135.20x = 78,798,729,024.24 - Step 5: Solve for x
x = 78,798,729,024.24/257,135.20 - Step 6: Final answer
x = 306,448.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.