Finding the Fourth Proportional to 513,039,617.14, 707,975,704.11 and 278,085,233.08
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Solution
The fourth proportional to 513,039,617.14, 707,975,704.11 and 278,085,233.08 is: 383,747,340.59
Step by Step Solution
- Step 1: Write the proportion equation
513,039,617.14 : 707,975,704.11 = 278,085,233.08 : x - Step 2: Convert to fraction form
513,039,617.14/707,975,704.11 = 278,085,233.08/x - Step 3: Cross multiply
513,039,617.14x = 707,975,704.11 × 278,085,233.08 - Step 4: Simplify right side
513,039,617.14x = 196,877,588,692,763,104 - Step 5: Solve for x
x = 196,877,588,692,763,104/513,039,617.14 - Step 6: Final answer
x = 383,747,340.59
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.