Finding the Fourth Proportional to 1,616,496,751.80, 2,424,745,127.70 and 1,267,818,311.70
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Solution
The fourth proportional to 1,616,496,751.80, 2,424,745,127.70 and 1,267,818,311.70 is: 1,901,727,467.55
Step by Step Solution
- Step 1: Write the proportion equation
1,616,496,751.80 : 2,424,745,127.70 = 1,267,818,311.70 : x - Step 2: Convert to fraction form
1,616,496,751.80/2,424,745,127.70 = 1,267,818,311.70/x - Step 3: Cross multiply
1,616,496,751.80x = 2,424,745,127.70 × 1,267,818,311.70 - Step 4: Simplify right side
1,616,496,751.80x = 3,074,136,274,103,414,784 - Step 5: Solve for x
x = 3,074,136,274,103,414,784/1,616,496,751.80 - Step 6: Final answer
x = 1,901,727,467.55
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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.