Finding the Fourth Proportional to 296,098.21, 408,614.35 and 160,132.31
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Solution
The fourth proportional to 296,098.21, 408,614.35 and 160,132.31 is: 220,981.95
Step by Step Solution
- Step 1: Write the proportion equation
296,098.21 : 408,614.35 = 160,132.31 : x - Step 2: Convert to fraction form
296,098.21/408,614.35 = 160,132.31/x - Step 3: Cross multiply
296,098.21x = 408,614.35 × 160,132.31 - Step 4: Simplify right side
296,098.21x = 65,432,359,764.65 - Step 5: Solve for x
x = 65,432,359,764.65/296,098.21 - Step 6: Final answer
x = 220,981.95
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1.5x scale
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.