Finding the Fourth Proportional to 278,226.24, 383,960.91 and 157,365.17
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Solution
The fourth proportional to 278,226.24, 383,960.91 and 157,365.17 is: 217,168.85
Step by Step Solution
- Step 1: Write the proportion equation
278,226.24 : 383,960.91 = 157,365.17 : x - Step 2: Convert to fraction form
278,226.24/383,960.91 = 157,365.17/x - Step 3: Cross multiply
278,226.24x = 383,960.91 × 157,365.17 - Step 4: Simplify right side
278,226.24x = 60,422,071,955.70 - Step 5: Solve for x
x = 60,422,071,955.70/278,226.24 - Step 6: Final answer
x = 217,168.85
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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.