Finding the Fourth Proportional to 447,119,318.20, 670,678,977.30 and 140,442,431.80
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Solution
The fourth proportional to 447,119,318.20, 670,678,977.30 and 140,442,431.80 is: 210,663,647.70
Step by Step Solution
- Step 1: Write the proportion equation
447,119,318.20 : 670,678,977.30 = 140,442,431.80 : x - Step 2: Convert to fraction form
447,119,318.20/670,678,977.30 = 140,442,431.80/x - Step 3: Cross multiply
447,119,318.20x = 670,678,977.30 × 140,442,431.80 - Step 4: Simplify right side
447,119,318.20x = 94,191,786,529,148,992 - Step 5: Solve for x
x = 94,191,786,529,148,992/447,119,318.20 - Step 6: Final answer
x = 210,663,647.70
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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.