Finding the Fourth Proportional to 1,946,712,542.85, 2,920,068,851.20 and 472,842,421.09
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Solution
The fourth proportional to 1,946,712,542.85, 2,920,068,851.20 and 472,842,421.09 is: 709,263,640.60
Step by Step Solution
- Step 1: Write the proportion equation
1,946,712,542.85 : 2,920,068,851.20 = 472,842,421.09 : x - Step 2: Convert to fraction form
1,946,712,542.85/2,920,068,851.20 = 472,842,421.09/x - Step 3: Cross multiply
1,946,712,542.85x = 2,920,068,851.20 × 472,842,421.09 - Step 4: Simplify right side
1,946,712,542.85x = 1,380,732,425,342,373,376 - Step 5: Solve for x
x = 1,380,732,425,342,373,376/1,946,712,542.85 - Step 6: Final answer
x = 709,263,640.60
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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.