Finding the Fourth Proportional to 1,584,509,461.20, 2,376,869,167.80 and 419,961,704.40
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Solution
The fourth proportional to 1,584,509,461.20, 2,376,869,167.80 and 419,961,704.40 is: 629,970,379.66
Step by Step Solution
- Step 1: Write the proportion equation
1,584,509,461.20 : 2,376,869,167.80 = 419,961,704.40 : x - Step 2: Convert to fraction form
1,584,509,461.20/2,376,869,167.80 = 419,961,704.40/x - Step 3: Cross multiply
1,584,509,461.20x = 2,376,869,167.80 × 419,961,704.40 - Step 4: Simplify right side
1,584,509,461.20x = 998,194,026,845,097,600 - Step 5: Solve for x
x = 998,194,026,845,097,600/1,584,509,461.20 - Step 6: Final answer
x = 629,970,379.66
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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.