Finding the Fourth Proportional to 828,847,167.92, 1,143,779,106.12 and 457,561,226.96
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Solution
The fourth proportional to 828,847,167.92, 1,143,779,106.12 and 457,561,226.96 is: 631,417,939.79
Step by Step Solution
- Step 1: Write the proportion equation
828,847,167.92 : 1,143,779,106.12 = 457,561,226.96 : x - Step 2: Convert to fraction form
828,847,167.92/1,143,779,106.12 = 457,561,226.96/x - Step 3: Cross multiply
828,847,167.92x = 1,143,779,106.12 × 457,561,226.96 - Step 4: Simplify right side
828,847,167.92x = 523,348,971,167,479,168 - Step 5: Solve for x
x = 523,348,971,167,479,168/828,847,167.92 - Step 6: Final answer
x = 631,417,939.79
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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.