Finding the Fourth Proportional to 342,006.23, 471,903.62 and 214,624.41
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Solution
The fourth proportional to 342,006.23, 471,903.62 and 214,624.41 is: 296,140.91
Step by Step Solution
- Step 1: Write the proportion equation
342,006.23 : 471,903.62 = 214,624.41 : x - Step 2: Convert to fraction form
342,006.23/471,903.62 = 214,624.41/x - Step 3: Cross multiply
342,006.23x = 471,903.62 × 214,624.41 - Step 4: Simplify right side
342,006.23x = 101,282,036,019.36 - Step 5: Solve for x
x = 101,282,036,019.36/342,006.23 - Step 6: Final answer
x = 296,140.91
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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.