Finding the Fourth Proportional to 1,106,142,138.20, 1,659,213,207.30 and 288,254,439.20
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Solution
The fourth proportional to 1,106,142,138.20, 1,659,213,207.30 and 288,254,439.20 is: 432,381,658.80
Step by Step Solution
- Step 1: Write the proportion equation
1,106,142,138.20 : 1,659,213,207.30 = 288,254,439.20 : x - Step 2: Convert to fraction form
1,106,142,138.20/1,659,213,207.30 = 288,254,439.20/x - Step 3: Cross multiply
1,106,142,138.20x = 1,659,213,207.30 × 288,254,439.20 - Step 4: Simplify right side
1,106,142,138.20x = 478,275,572,583,494,784 - Step 5: Solve for x
x = 478,275,572,583,494,784/1,106,142,138.20 - Step 6: Final answer
x = 432,381,658.80
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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.