Finding the Fourth Proportional to 802,554,801,763.18, 1,203,945,288,286.60 and 257,820,641,711.06
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Solution
The fourth proportional to 802,554,801,763.18, 1,203,945,288,286.60 and 257,820,641,711.06 is: 386,767,291,316.58
Step by Step Solution
- Step 1: Write the proportion equation
802,554,801,763.18 : 1,203,945,288,286.60 = 257,820,641,711.06 : x - Step 2: Convert to fraction form
802,554,801,763.18/1,203,945,288,286.60 = 257,820,641,711.06/x - Step 3: Cross multiply
802,554,801,763.18x = 1,203,945,288,286.60 × 257,820,641,711.06 - Step 4: Simplify right side
802,554,801,763.18x = 310,401,946,811,058,354,126,848 - Step 5: Solve for x
x = 310,401,946,811,058,354,126,848/802,554,801,763.18 - Step 6: Final answer
x = 386,767,291,316.58
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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.