Finding the Fourth Proportional to 261,468,267.20, 392,202,400.80 and 159,431,595.20
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Solution
The fourth proportional to 261,468,267.20, 392,202,400.80 and 159,431,595.20 is: 239,147,392.80
Step by Step Solution
- Step 1: Write the proportion equation
261,468,267.20 : 392,202,400.80 = 159,431,595.20 : x - Step 2: Convert to fraction form
261,468,267.20/392,202,400.80 = 159,431,595.20/x - Step 3: Cross multiply
261,468,267.20x = 392,202,400.80 × 159,431,595.20 - Step 4: Simplify right side
261,468,267.20x = 62,529,454,400,813,752 - Step 5: Solve for x
x = 62,529,454,400,813,752/261,468,267.20 - Step 6: Final answer
x = 239,147,392.80
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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.