Finding the Fourth Proportional to 1,294,098,072, 1,941,147,108 and 432,455,064
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Solution
The fourth proportional to 1,294,098,072, 1,941,147,108 and 432,455,064 is: 648,682,596
Step by Step Solution
- Step 1: Write the proportion equation
1,294,098,072 : 1,941,147,108 = 432,455,064 : x - Step 2: Convert to fraction form
1,294,098,072/1,941,147,108 = 432,455,064/x - Step 3: Cross multiply
1,294,098,072x = 1,941,147,108 × 432,455,064 - Step 4: Simplify right side
1,294,098,072x = 839,458,896,823,554,944 - Step 5: Solve for x
x = 839,458,896,823,554,944/1,294,098,072 - Step 6: Final answer
x = 648,682,596
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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.