Finding the Fourth Proportional to 1,120,197,657.90, 1,680,296,486.85 and 473,881,421.10
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Solution
The fourth proportional to 1,120,197,657.90, 1,680,296,486.85 and 473,881,421.10 is: 710,822,131.65
Step by Step Solution
- Step 1: Write the proportion equation
1,120,197,657.90 : 1,680,296,486.85 = 473,881,421.10 : x - Step 2: Convert to fraction form
1,120,197,657.90/1,680,296,486.85 = 473,881,421.10/x - Step 3: Cross multiply
1,120,197,657.90x = 1,680,296,486.85 × 473,881,421.10 - Step 4: Simplify right side
1,120,197,657.90x = 796,261,287,057,815,424 - Step 5: Solve for x
x = 796,261,287,057,815,424/1,120,197,657.90 - Step 6: Final answer
x = 710,822,131.65
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Double scale
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Similar ratio
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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.