Finding the Fourth Proportional to 649,413,761.32, 974,283,063.21 and 189,351,930.63
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Solution
The fourth proportional to 649,413,761.32, 974,283,063.21 and 189,351,930.63 is: 284,075,253.69
Step by Step Solution
- Step 1: Write the proportion equation
649,413,761.32 : 974,283,063.21 = 189,351,930.63 : x - Step 2: Convert to fraction form
649,413,761.32/974,283,063.21 = 189,351,930.63/x - Step 3: Cross multiply
649,413,761.32x = 974,283,063.21 × 189,351,930.63 - Step 4: Simplify right side
649,413,761.32x = 184,482,378,998,923,840 - Step 5: Solve for x
x = 184,482,378,998,923,840/649,413,761.32 - Step 6: Final answer
x = 284,075,253.69
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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.