Finding the Fourth Proportional to 1,299,078,701.20, 1,948,618,051.80 and 329,730,317.20
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Solution
The fourth proportional to 1,299,078,701.20, 1,948,618,051.80 and 329,730,317.20 is: 494,595,475.80
Step by Step Solution
- Step 1: Write the proportion equation
1,299,078,701.20 : 1,948,618,051.80 = 329,730,317.20 : x - Step 2: Convert to fraction form
1,299,078,701.20/1,948,618,051.80 = 329,730,317.20/x - Step 3: Cross multiply
1,299,078,701.20x = 1,948,618,051.80 × 329,730,317.20 - Step 4: Simplify right side
1,299,078,701.20x = 642,518,448,321,660,032 - Step 5: Solve for x
x = 642,518,448,321,660,032/1,299,078,701.20 - Step 6: Final answer
x = 494,595,475.80
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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.