Finding the Fourth Proportional to 298,592,385.26, 412,234,248.09 and 265,461,123.30
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Solution
The fourth proportional to 298,592,385.26, 412,234,248.09 and 265,461,123.30 is: 366,493,494.02
Step by Step Solution
- Step 1: Write the proportion equation
298,592,385.26 : 412,234,248.09 = 265,461,123.30 : x - Step 2: Convert to fraction form
298,592,385.26/412,234,248.09 = 265,461,123.30/x - Step 3: Cross multiply
298,592,385.26x = 412,234,248.09 × 265,461,123.30 - Step 4: Simplify right side
298,592,385.26x = 109,432,166,560,702,272 - Step 5: Solve for x
x = 109,432,166,560,702,272/298,592,385.26 - Step 6: Final answer
x = 366,493,494.02
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.