Finding the Fourth Proportional to 531,471,201.40, 798,057,107.70 and 402,224,750.20
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Solution
The fourth proportional to 531,471,201.40, 798,057,107.70 and 402,224,750.20 is: 603,980,648.33
Step by Step Solution
- Step 1: Write the proportion equation
531,471,201.40 : 798,057,107.70 = 402,224,750.20 : x - Step 2: Convert to fraction form
531,471,201.40/798,057,107.70 = 402,224,750.20/x - Step 3: Cross multiply
531,471,201.40x = 798,057,107.70 × 402,224,750.20 - Step 4: Simplify right side
531,471,201.40x = 320,998,320,789,966,976 - Step 5: Solve for x
x = 320,998,320,789,966,976/531,471,201.40 - Step 6: Final answer
x = 603,980,648.33
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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.