Finding the Fourth Proportional to 413,515,423.80, 620,273,135.70 and 260,460,415.80
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Solution
The fourth proportional to 413,515,423.80, 620,273,135.70 and 260,460,415.80 is: 390,690,623.70
Step by Step Solution
- Step 1: Write the proportion equation
413,515,423.80 : 620,273,135.70 = 260,460,415.80 : x - Step 2: Convert to fraction form
413,515,423.80/620,273,135.70 = 260,460,415.80/x - Step 3: Cross multiply
413,515,423.80x = 620,273,135.70 × 260,460,415.80 - Step 4: Simplify right side
413,515,423.80x = 161,556,598,833,991,840 - Step 5: Solve for x
x = 161,556,598,833,991,840/413,515,423.80 - Step 6: Final answer
x = 390,690,623.70
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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.