Finding the Fourth Proportional to 1,099,696,538.70, 1,649,544,808.05 and 409,460,967.90
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Solution
The fourth proportional to 1,099,696,538.70, 1,649,544,808.05 and 409,460,967.90 is: 614,191,451.85
Step by Step Solution
- Step 1: Write the proportion equation
1,099,696,538.70 : 1,649,544,808.05 = 409,460,967.90 : x - Step 2: Convert to fraction form
1,099,696,538.70/1,649,544,808.05 = 409,460,967.90/x - Step 3: Cross multiply
1,099,696,538.70x = 1,649,544,808.05 × 409,460,967.90 - Step 4: Simplify right side
1,099,696,538.70x = 675,424,213,698,572,672 - Step 5: Solve for x
x = 675,424,213,698,572,672/1,099,696,538.70 - Step 6: Final answer
x = 614,191,451.85
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Double scale
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Similar ratio
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1.5x scale
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.