Finding the Fourth Proportional to 471,276,862.20, 706,430,246.40 and 209,084,890.50
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Solution
The fourth proportional to 471,276,862.20, 706,430,246.40 and 209,084,890.50 is: 313,412,141.70
Step by Step Solution
- Step 1: Write the proportion equation
471,276,862.20 : 706,430,246.40 = 209,084,890.50 : x - Step 2: Convert to fraction form
471,276,862.20/706,430,246.40 = 209,084,890.50/x - Step 3: Cross multiply
471,276,862.20x = 706,430,246.40 × 209,084,890.50 - Step 4: Simplify right side
471,276,862.20x = 147,703,890,714,432,000 - Step 5: Solve for x
x = 147,703,890,714,432,000/471,276,862.20 - Step 6: Final answer
x = 313,412,141.70
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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.