Finding the Fourth Proportional to 294,563.14, 406,497.12 and 160,427.14
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Solution
The fourth proportional to 294,563.14, 406,497.12 and 160,427.14 is: 221,389.45
Step by Step Solution
- Step 1: Write the proportion equation
294,563.14 : 406,497.12 = 160,427.14 : x - Step 2: Convert to fraction form
294,563.14/406,497.12 = 160,427.14/x - Step 3: Cross multiply
294,563.14x = 406,497.12 × 160,427.14 - Step 4: Simplify right side
294,563.14x = 65,213,170,379.84 - Step 5: Solve for x
x = 65,213,170,379.84/294,563.14 - Step 6: Final answer
x = 221,389.45
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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.