Finding the Fourth Proportional to 1,342,754,229.80, 2,014,403,747.70 and 422,416,515.80
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Solution
The fourth proportional to 1,342,754,229.80, 2,014,403,747.70 and 422,416,515.80 is: 633,710,468.85
Step by Step Solution
- Step 1: Write the proportion equation
1,342,754,229.80 : 2,014,403,747.70 = 422,416,515.80 : x - Step 2: Convert to fraction form
1,342,754,229.80/2,014,403,747.70 = 422,416,515.80/x - Step 3: Cross multiply
1,342,754,229.80x = 2,014,403,747.70 × 422,416,515.80 - Step 4: Simplify right side
1,342,754,229.80x = 850,917,412,517,896,320 - Step 5: Solve for x
x = 850,917,412,517,896,320/1,342,754,229.80 - Step 6: Final answer
x = 633,710,468.85
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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.