Finding the Fourth Proportional to 1,608,738,793.74, 2,413,115,897.54 and 488,272,185.02
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Solution
The fourth proportional to 1,608,738,793.74, 2,413,115,897.54 and 488,272,185.02 is: 732,410,616.68
Step by Step Solution
- Step 1: Write the proportion equation
1,608,738,793.74 : 2,413,115,897.54 = 488,272,185.02 : x - Step 2: Convert to fraction form
1,608,738,793.74/2,413,115,897.54 = 488,272,185.02/x - Step 3: Cross multiply
1,608,738,793.74x = 2,413,115,897.54 × 488,272,185.02 - Step 4: Simplify right side
1,608,738,793.74x = 1,178,257,371,991,118,080 - Step 5: Solve for x
x = 1,178,257,371,991,118,080/1,608,738,793.74 - Step 6: Final answer
x = 732,410,616.68
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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.