Finding the Fourth Proportional to 427,436,400,416.85, 641,263,124,974.08 and 197,869,239,532.99
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Solution
The fourth proportional to 427,436,400,416.85, 641,263,124,974.08 and 197,869,239,532.99 is: 296,854,097,487.78
Step by Step Solution
- Step 1: Write the proportion equation
427,436,400,416.85 : 641,263,124,974.08 = 197,869,239,532.99 : x - Step 2: Convert to fraction form
427,436,400,416.85/641,263,124,974.08 = 197,869,239,532.99/x - Step 3: Cross multiply
427,436,400,416.85x = 641,263,124,974.08 × 197,869,239,532.99 - Step 4: Simplify right side
427,436,400,416.85x = 126,886,246,879,169,930,592,256 - Step 5: Solve for x
x = 126,886,246,879,169,930,592,256/427,436,400,416.85 - Step 6: Final answer
x = 296,854,097,487.78
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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.