Finding the Fourth Proportional to 278,071.71, 383,724.21 and 157,205.79
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Solution
The fourth proportional to 278,071.71, 383,724.21 and 157,205.79 is: 216,935.65
Step by Step Solution
- Step 1: Write the proportion equation
278,071.71 : 383,724.21 = 157,205.79 : x - Step 2: Convert to fraction form
278,071.71/383,724.21 = 157,205.79/x - Step 3: Cross multiply
278,071.71x = 383,724.21 × 157,205.79 - Step 4: Simplify right side
278,071.71x = 60,323,667,575.18 - Step 5: Solve for x
x = 60,323,667,575.18/278,071.71 - Step 6: Final answer
x = 216,935.65
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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.