Finding the Fourth Proportional to 902,041,205.11, 1,353,064,330.04 and 280,347,344.63
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Solution
The fourth proportional to 902,041,205.11, 1,353,064,330.04 and 280,347,344.63 is: 420,521,800.88
Step by Step Solution
- Step 1: Write the proportion equation
902,041,205.11 : 1,353,064,330.04 = 280,347,344.63 : x - Step 2: Convert to fraction form
902,041,205.11/1,353,064,330.04 = 280,347,344.63/x - Step 3: Cross multiply
902,041,205.11x = 1,353,064,330.04 × 280,347,344.63 - Step 4: Simplify right side
902,041,205.11x = 379,327,992,043,243,584 - Step 5: Solve for x
x = 379,327,992,043,243,584/902,041,205.11 - Step 6: Final answer
x = 420,521,800.88
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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.