Finding the Fourth Proportional to 1,948,982,861.40, 2,923,474,292.10 and 966,029,587.80
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Solution
The fourth proportional to 1,948,982,861.40, 2,923,474,292.10 and 966,029,587.80 is: 1,449,044,381.70
Step by Step Solution
- Step 1: Write the proportion equation
1,948,982,861.40 : 2,923,474,292.10 = 966,029,587.80 : x - Step 2: Convert to fraction form
1,948,982,861.40/2,923,474,292.10 = 966,029,587.80/x - Step 3: Cross multiply
1,948,982,861.40x = 2,923,474,292.10 × 966,029,587.80 - Step 4: Simplify right side
1,948,982,861.40x = 2,824,162,665,341,259,776 - Step 5: Solve for x
x = 2,824,162,665,341,259,776/1,948,982,861.40 - Step 6: Final answer
x = 1,449,044,381.70
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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.