Finding the Fourth Proportional to 314,014.93, 471,974.01 and 207,761.29
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Solution
The fourth proportional to 314,014.93, 471,974.01 and 207,761.29 is: 312,271.55
Step by Step Solution
- Step 1: Write the proportion equation
314,014.93 : 471,974.01 = 207,761.29 : x - Step 2: Convert to fraction form
314,014.93/471,974.01 = 207,761.29/x - Step 3: Cross multiply
314,014.93x = 471,974.01 × 207,761.29 - Step 4: Simplify right side
314,014.93x = 98,057,929,164.07 - Step 5: Solve for x
x = 98,057,929,164.07/314,014.93 - Step 6: Final answer
x = 312,271.55
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.