Finding the Fourth Proportional to 729,295,660.11, 1,005,427,823.12 and 461,237,889.98
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Solution
The fourth proportional to 729,295,660.11, 1,005,427,823.12 and 461,237,889.98 is: 635,875,726.43
Step by Step Solution
- Step 1: Write the proportion equation
729,295,660.11 : 1,005,427,823.12 = 461,237,889.98 : x - Step 2: Convert to fraction form
729,295,660.11/1,005,427,823.12 = 461,237,889.98/x - Step 3: Cross multiply
729,295,660.11x = 1,005,427,823.12 × 461,237,889.98 - Step 4: Simplify right side
729,295,660.11x = 463,741,407,659,179,392 - Step 5: Solve for x
x = 463,741,407,659,179,392/729,295,660.11 - Step 6: Final answer
x = 635,875,726.43
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1.5x scale
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.