Finding the Fourth Proportional to 204,688,912.64, 306,920,929.86 and 100,829,594.84
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Solution
The fourth proportional to 204,688,912.64, 306,920,929.86 and 100,829,594.84 is: 151,189,004.85
Step by Step Solution
- Step 1: Write the proportion equation
204,688,912.64 : 306,920,929.86 = 100,829,594.84 : x - Step 2: Convert to fraction form
204,688,912.64/306,920,929.86 = 100,829,594.84/x - Step 3: Cross multiply
204,688,912.64x = 306,920,929.86 × 100,829,594.84 - Step 4: Simplify right side
204,688,912.64x = 30,946,713,004,165,252 - Step 5: Solve for x
x = 30,946,713,004,165,252/204,688,912.64 - Step 6: Final answer
x = 151,189,004.85
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.