Finding the Fourth Proportional to 280,283.10, 420,339.69 and 102,804.54
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Solution
The fourth proportional to 280,283.10, 420,339.69 and 102,804.54 is: 154,175.65
Step by Step Solution
- Step 1: Write the proportion equation
280,283.10 : 420,339.69 = 102,804.54 : x - Step 2: Convert to fraction form
280,283.10/420,339.69 = 102,804.54/x - Step 3: Cross multiply
280,283.10x = 420,339.69 × 102,804.54 - Step 4: Simplify right side
280,283.10x = 43,212,828,474.19 - Step 5: Solve for x
x = 43,212,828,474.19/280,283.10 - Step 6: Final answer
x = 154,175.65
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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.