Finding the Fourth Proportional to 296,283.65, 408,868.50 and 160,314.62
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Solution
The fourth proportional to 296,283.65, 408,868.50 and 160,314.62 is: 221,232.58
Step by Step Solution
- Step 1: Write the proportion equation
296,283.65 : 408,868.50 = 160,314.62 : x - Step 2: Convert to fraction form
296,283.65/408,868.50 = 160,314.62/x - Step 3: Cross multiply
296,283.65x = 408,868.50 × 160,314.62 - Step 4: Simplify right side
296,283.65x = 65,547,596,163.13 - Step 5: Solve for x
x = 65,547,596,163.13/296,283.65 - Step 6: Final answer
x = 221,232.58
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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.