Finding the Fourth Proportional to 499,006,474.80, 748,509,712.20 and 305,296,230.30
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Solution
The fourth proportional to 499,006,474.80, 748,509,712.20 and 305,296,230.30 is: 457,944,345.45
Step by Step Solution
- Step 1: Write the proportion equation
499,006,474.80 : 748,509,712.20 = 305,296,230.30 : x - Step 2: Convert to fraction form
499,006,474.80/748,509,712.20 = 305,296,230.30/x - Step 3: Cross multiply
499,006,474.80x = 748,509,712.20 × 305,296,230.30 - Step 4: Simplify right side
499,006,474.80x = 228,517,193,477,597,952 - Step 5: Solve for x
x = 228,517,193,477,597,952/499,006,474.80 - Step 6: Final answer
x = 457,944,345.45
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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.