Finding the Fourth Proportional to 299,314.08, 413,051.40 and 165,178.08
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Solution
The fourth proportional to 299,314.08, 413,051.40 and 165,178.08 is: 227,944.63
Step by Step Solution
- Step 1: Write the proportion equation
299,314.08 : 413,051.40 = 165,178.08 : x - Step 2: Convert to fraction form
299,314.08/413,051.40 = 165,178.08/x - Step 3: Cross multiply
299,314.08x = 413,051.40 × 165,178.08 - Step 4: Simplify right side
299,314.08x = 68,227,037,193.31 - Step 5: Solve for x
x = 68,227,037,193.31/299,314.08 - Step 6: Final answer
x = 227,944.63
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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.