Finding the Fourth Proportional to 296,396.52, 409,027.14 and 160,430.44
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Solution
The fourth proportional to 296,396.52, 409,027.14 and 160,430.44 is: 221,393.98
Step by Step Solution
- Step 1: Write the proportion equation
296,396.52 : 409,027.14 = 160,430.44 : x - Step 2: Convert to fraction form
296,396.52/409,027.14 = 160,430.44/x - Step 3: Cross multiply
296,396.52x = 409,027.14 × 160,430.44 - Step 4: Simplify right side
296,396.52x = 65,620,404,042.14 - Step 5: Solve for x
x = 65,620,404,042.14/296,396.52 - Step 6: Final answer
x = 221,393.98
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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.