Finding the Fourth Proportional to 997,274,138.40, 1,495,911,207.60 and 307,091,711.70
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Solution
The fourth proportional to 997,274,138.40, 1,495,911,207.60 and 307,091,711.70 is: 460,637,567.55
Step by Step Solution
- Step 1: Write the proportion equation
997,274,138.40 : 1,495,911,207.60 = 307,091,711.70 : x - Step 2: Convert to fraction form
997,274,138.40/1,495,911,207.60 = 307,091,711.70/x - Step 3: Cross multiply
997,274,138.40x = 1,495,911,207.60 × 307,091,711.70 - Step 4: Simplify right side
997,274,138.40x = 459,381,933,293,097,984 - Step 5: Solve for x
x = 459,381,933,293,097,984/997,274,138.40 - Step 6: Final answer
x = 460,637,567.55
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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.