Finding the Fourth Proportional to 315,175.42, 470,304.94 and 281,207.94
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Solution
The fourth proportional to 315,175.42, 470,304.94 and 281,207.94 is: 419,618.65
Step by Step Solution
- Step 1: Write the proportion equation
315,175.42 : 470,304.94 = 281,207.94 : x - Step 2: Convert to fraction form
315,175.42/470,304.94 = 281,207.94/x - Step 3: Cross multiply
315,175.42x = 470,304.94 × 281,207.94 - Step 4: Simplify right side
315,175.42x = 132,253,483,349.22 - Step 5: Solve for x
x = 132,253,483,349.22/315,175.42 - Step 6: Final answer
x = 419,618.65
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.