Finding the Fourth Proportional to 429,742.16, 644,516.04 and 163,407.68
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Solution
The fourth proportional to 429,742.16, 644,516.04 and 163,407.68 is: 245,074.56
Step by Step Solution
- Step 1: Write the proportion equation
429,742.16 : 644,516.04 = 163,407.68 : x - Step 2: Convert to fraction form
429,742.16/644,516.04 = 163,407.68/x - Step 3: Cross multiply
429,742.16x = 644,516.04 × 163,407.68 - Step 4: Simplify right side
429,742.16x = 105,318,870,819.19 - Step 5: Solve for x
x = 105,318,870,819.19/429,742.16 - Step 6: Final answer
x = 245,074.56
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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.