Finding the Fourth Proportional to 837,200,126, 1,155,324,888.96 and 465,922,058.96
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Solution
The fourth proportional to 837,200,126, 1,155,324,888.96 and 465,922,058.96 is: 642,966,161.03
Step by Step Solution
- Step 1: Write the proportion equation
837,200,126 : 1,155,324,888.96 = 465,922,058.96 : x - Step 2: Convert to fraction form
837,200,126/1,155,324,888.96 = 465,922,058.96/x - Step 3: Cross multiply
837,200,126x = 1,155,324,888.96 × 465,922,058.96 - Step 4: Simplify right side
837,200,126x = 538,291,351,031,976,576 - Step 5: Solve for x
x = 538,291,351,031,976,576/837,200,126 - Step 6: Final answer
x = 642,966,161.03
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.