Finding the Fourth Proportional to 689,593,497.60, 1,034,387,524.80 and 204,919,305.60
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Solution
The fourth proportional to 689,593,497.60, 1,034,387,524.80 and 204,919,305.60 is: 307,378,149.65
Step by Step Solution
- Step 1: Write the proportion equation
689,593,497.60 : 1,034,387,524.80 = 204,919,305.60 : x - Step 2: Convert to fraction form
689,593,497.60/1,034,387,524.80 = 204,919,305.60/x - Step 3: Cross multiply
689,593,497.60x = 1,034,387,524.80 × 204,919,305.60 - Step 4: Simplify right side
689,593,497.60x = 211,965,973,303,318,752 - Step 5: Solve for x
x = 211,965,973,303,318,752/689,593,497.60 - Step 6: Final answer
x = 307,378,149.65
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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.