Finding the Fourth Proportional to 435,468,000.30, 653,202,000.45 and 193,603,296.30
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Solution
The fourth proportional to 435,468,000.30, 653,202,000.45 and 193,603,296.30 is: 290,404,944.45
Step by Step Solution
- Step 1: Write the proportion equation
435,468,000.30 : 653,202,000.45 = 193,603,296.30 : x - Step 2: Convert to fraction form
435,468,000.30/653,202,000.45 = 193,603,296.30/x - Step 3: Cross multiply
435,468,000.30x = 653,202,000.45 × 193,603,296.30 - Step 4: Simplify right side
435,468,000.30x = 126,462,060,436,874,096 - Step 5: Solve for x
x = 126,462,060,436,874,096/435,468,000.30 - Step 6: Final answer
x = 290,404,944.45
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1.5x scale
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.