Finding the Fourth Proportional to 342,005.23, 471,902.24 and 214,623.41
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Solution
The fourth proportional to 342,005.23, 471,902.24 and 214,623.41 is: 296,139.53
Step by Step Solution
- Step 1: Write the proportion equation
342,005.23 : 471,902.24 = 214,623.41 : x - Step 2: Convert to fraction form
342,005.23/471,902.24 = 214,623.41/x - Step 3: Cross multiply
342,005.23x = 471,902.24 × 214,623.41 - Step 4: Simplify right side
342,005.23x = 101,281,267,935.44 - Step 5: Solve for x
x = 101,281,267,935.44/342,005.23 - Step 6: Final answer
x = 296,139.53
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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.