Finding the Fourth Proportional to 314,234.08, 471,352.10 and 77,576.78
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Solution
The fourth proportional to 314,234.08, 471,352.10 and 77,576.78 is: 116,365.42
Step by Step Solution
- Step 1: Write the proportion equation
314,234.08 : 471,352.10 = 77,576.78 : x - Step 2: Convert to fraction form
314,234.08/471,352.10 = 77,576.78/x - Step 3: Cross multiply
314,234.08x = 471,352.10 × 77,576.78 - Step 4: Simplify right side
314,234.08x = 36,565,978,954.73 - Step 5: Solve for x
x = 36,565,978,954.73/314,234.08 - Step 6: Final answer
x = 116,365.42
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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.