Finding the Fourth Proportional to 729,295,661.11, 1,005,427,824.50 and 461,237,890.98
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Solution
The fourth proportional to 729,295,661.11, 1,005,427,824.50 and 461,237,890.98 is: 635,875,727.82
Step by Step Solution
- Step 1: Write the proportion equation
729,295,661.11 : 1,005,427,824.50 = 461,237,890.98 : x - Step 2: Convert to fraction form
729,295,661.11/1,005,427,824.50 = 461,237,890.98/x - Step 3: Cross multiply
729,295,661.11x = 1,005,427,824.50 × 461,237,890.98 - Step 4: Simplify right side
729,295,661.11x = 463,741,409,304,989,568 - Step 5: Solve for x
x = 463,741,409,304,989,568/729,295,661.11 - Step 6: Final answer
x = 635,875,727.82
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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.