Finding the Fourth Proportional to 298,592,383.76, 412,234,246.02 and 265,461,121.80
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Solution
The fourth proportional to 298,592,383.76, 412,234,246.02 and 265,461,121.80 is: 366,493,491.95
Step by Step Solution
- Step 1: Write the proportion equation
298,592,383.76 : 412,234,246.02 = 265,461,121.80 : x - Step 2: Convert to fraction form
298,592,383.76/412,234,246.02 = 265,461,121.80/x - Step 3: Cross multiply
298,592,383.76x = 412,234,246.02 × 265,461,121.80 - Step 4: Simplify right side
298,592,383.76x = 109,432,165,391,978,336 - Step 5: Solve for x
x = 109,432,165,391,978,336/298,592,383.76 - Step 6: Final answer
x = 366,493,491.95
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.