Finding the Fourth Proportional to 1,180,992,005.80, 1,771,488,008.70 and 490,669,829.80
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Solution
The fourth proportional to 1,180,992,005.80, 1,771,488,008.70 and 490,669,829.80 is: 736,004,744.70
Step by Step Solution
- Step 1: Write the proportion equation
1,180,992,005.80 : 1,771,488,008.70 = 490,669,829.80 : x - Step 2: Convert to fraction form
1,180,992,005.80/1,771,488,008.70 = 490,669,829.80/x - Step 3: Cross multiply
1,180,992,005.80x = 1,771,488,008.70 × 490,669,829.80 - Step 4: Simplify right side
1,180,992,005.80x = 869,215,719,721,569,920 - Step 5: Solve for x
x = 869,215,719,721,569,920/1,180,992,005.80 - Step 6: Final answer
x = 736,004,744.70
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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.