Finding the Fourth Proportional to 974,120,648.20, 1,461,424,604.16 and 284,027,902.18
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Solution
The fourth proportional to 974,120,648.20, 1,461,424,604.16 and 284,027,902.18 is: 426,112,889.90
Step by Step Solution
- Step 1: Write the proportion equation
974,120,648.20 : 1,461,424,604.16 = 284,027,902.18 : x - Step 2: Convert to fraction form
974,120,648.20/1,461,424,604.16 = 284,027,902.18/x - Step 3: Cross multiply
974,120,648.20x = 1,461,424,604.16 × 284,027,902.18 - Step 4: Simplify right side
974,120,648.20x = 415,085,364,513,801,728 - Step 5: Solve for x
x = 415,085,364,513,801,728/974,120,648.20 - Step 6: Final answer
x = 426,112,889.90
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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.