Finding the Fourth Proportional to 430,963,867,794.75, 646,446,423,856.65 and 175,993,251,337.23
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Solution
The fourth proportional to 430,963,867,794.75, 646,446,423,856.65 and 175,993,251,337.23 is: 263,990,131,079.95
Step by Step Solution
- Step 1: Write the proportion equation
430,963,867,794.75 : 646,446,423,856.65 = 175,993,251,337.23 : x - Step 2: Convert to fraction form
430,963,867,794.75/646,446,423,856.65 = 175,993,251,337.23/x - Step 3: Cross multiply
430,963,867,794.75x = 646,446,423,856.65 × 175,993,251,337.23 - Step 4: Simplify right side
430,963,867,794.75x = 113,770,207,949,856,933,150,720 - Step 5: Solve for x
x = 113,770,207,949,856,933,150,720/430,963,867,794.75 - Step 6: Final answer
x = 263,990,131,079.95
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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.