Finding the Fourth Proportional to 281,165.10, 421,281.07 and 197,884.14
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Solution
The fourth proportional to 281,165.10, 421,281.07 and 197,884.14 is: 296,497.83
Step by Step Solution
- Step 1: Write the proportion equation
281,165.10 : 421,281.07 = 197,884.14 : x - Step 2: Convert to fraction form
281,165.10/421,281.07 = 197,884.14/x - Step 3: Cross multiply
281,165.10x = 421,281.07 × 197,884.14 - Step 4: Simplify right side
281,165.10x = 83,364,842,235.23 - Step 5: Solve for x
x = 83,364,842,235.23/281,165.10 - Step 6: Final answer
x = 296,497.83
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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.