Finding the Fourth Proportional to 205,714.24, 284,009.52 and 134,218.24
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Solution
The fourth proportional to 205,714.24, 284,009.52 and 134,218.24 is: 185,301.99
Step by Step Solution
- Step 1: Write the proportion equation
205,714.24 : 284,009.52 = 134,218.24 : x - Step 2: Convert to fraction form
205,714.24/284,009.52 = 134,218.24/x - Step 3: Cross multiply
205,714.24x = 284,009.52 × 134,218.24 - Step 4: Simplify right side
205,714.24x = 38,119,257,917.64 - Step 5: Solve for x
x = 38,119,257,917.64/205,714.24 - Step 6: Final answer
x = 185,301.99
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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.