Finding the Fourth Proportional to 521,471,567.70, 782,207,351.55 and 198,313,449.30
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Solution
The fourth proportional to 521,471,567.70, 782,207,351.55 and 198,313,449.30 is: 297,470,173.95
Step by Step Solution
- Step 1: Write the proportion equation
521,471,567.70 : 782,207,351.55 = 198,313,449.30 : x - Step 2: Convert to fraction form
521,471,567.70/782,207,351.55 = 198,313,449.30/x - Step 3: Cross multiply
521,471,567.70x = 782,207,351.55 × 198,313,449.30 - Step 4: Simplify right side
521,471,567.70x = 155,122,237,953,698,208 - Step 5: Solve for x
x = 155,122,237,953,698,208/521,471,567.70 - Step 6: Final answer
x = 297,470,173.95
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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.