Finding the Fourth Proportional to 996,497,827.80, 1,494,746,741.70 and 414,038,491.80
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Solution
The fourth proportional to 996,497,827.80, 1,494,746,741.70 and 414,038,491.80 is: 621,057,737.70
Step by Step Solution
- Step 1: Write the proportion equation
996,497,827.80 : 1,494,746,741.70 = 414,038,491.80 : x - Step 2: Convert to fraction form
996,497,827.80/1,494,746,741.70 = 414,038,491.80/x - Step 3: Cross multiply
996,497,827.80x = 1,494,746,741.70 × 414,038,491.80 - Step 4: Simplify right side
996,497,827.80x = 618,882,686,556,432,256 - Step 5: Solve for x
x = 618,882,686,556,432,256/996,497,827.80 - Step 6: Final answer
x = 621,057,737.70
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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.