Finding the Fourth Proportional to 945,464.63, 1,418,209.23 and 314,378.42
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Solution
The fourth proportional to 945,464.63, 1,418,209.23 and 314,378.42 is: 471,571.71
Step by Step Solution
- Step 1: Write the proportion equation
945,464.63 : 1,418,209.23 = 314,378.42 : x - Step 2: Convert to fraction form
945,464.63/1,418,209.23 = 314,378.42/x - Step 3: Cross multiply
945,464.63x = 1,418,209.23 × 314,378.42 - Step 4: Simplify right side
945,464.63x = 445,854,375,384.93 - Step 5: Solve for x
x = 445,854,375,384.93/945,464.63 - Step 6: Final answer
x = 471,571.71
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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.