Finding the Fourth Proportional to 278,005.63, 383,643.62 and 157,142.68
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Solution
The fourth proportional to 278,005.63, 383,643.62 and 157,142.68 is: 216,854.55
Step by Step Solution
- Step 1: Write the proportion equation
278,005.63 : 383,643.62 = 157,142.68 : x - Step 2: Convert to fraction form
278,005.63/383,643.62 = 157,142.68/x - Step 3: Cross multiply
278,005.63x = 383,643.62 × 157,142.68 - Step 4: Simplify right side
278,005.63x = 60,286,786,611.70 - Step 5: Solve for x
x = 60,286,786,611.70/278,005.63 - Step 6: Final answer
x = 216,854.55
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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.