Finding the Fourth Proportional to 1,106,142,128.70, 1,659,213,193.05 and 288,254,429.70
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Solution
The fourth proportional to 1,106,142,128.70, 1,659,213,193.05 and 288,254,429.70 is: 432,381,644.55
Step by Step Solution
- Step 1: Write the proportion equation
1,106,142,128.70 : 1,659,213,193.05 = 288,254,429.70 : x - Step 2: Convert to fraction form
1,106,142,128.70/1,659,213,193.05 = 288,254,429.70/x - Step 3: Cross multiply
1,106,142,128.70x = 1,659,213,193.05 × 288,254,429.70 - Step 4: Simplify right side
1,106,142,128.70x = 478,275,552,713,343,744 - Step 5: Solve for x
x = 478,275,552,713,343,744/1,106,142,128.70 - Step 6: Final answer
x = 432,381,644.55
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Double scale
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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.