Finding the Fourth Proportional to 499,468,580,176.25, 749,364,219,520 and 231,033,648,156.24
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Solution
The fourth proportional to 499,468,580,176.25, 749,364,219,520 and 231,033,648,156.24 is: 346,625,105,772.15
Step by Step Solution
- Step 1: Write the proportion equation
499,468,580,176.25 : 749,364,219,520 = 231,033,648,156.24 : x - Step 2: Convert to fraction form
499,468,580,176.25/749,364,219,520 = 231,033,648,156.24/x - Step 3: Cross multiply
499,468,580,176.25x = 749,364,219,520 × 231,033,648,156.24 - Step 4: Simplify right side
499,468,580,176.25x = 173,128,349,433,459,059,458,048 - Step 5: Solve for x
x = 173,128,349,433,459,059,458,048/499,468,580,176.25 - Step 6: Final answer
x = 346,625,105,772.15
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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.