Finding the Fourth Proportional to 414,312,235.20, 621,468,352.80 and 261,635,140.80
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Solution
The fourth proportional to 414,312,235.20, 621,468,352.80 and 261,635,140.80 is: 392,452,711.20
Step by Step Solution
- Step 1: Write the proportion equation
414,312,235.20 : 621,468,352.80 = 261,635,140.80 : x - Step 2: Convert to fraction form
414,312,235.20/621,468,352.80 = 261,635,140.80/x - Step 3: Cross multiply
414,312,235.20x = 621,468,352.80 × 261,635,140.80 - Step 4: Simplify right side
414,312,235.20x = 162,597,959,987,572,064 - Step 5: Solve for x
x = 162,597,959,987,572,064/414,312,235.20 - Step 6: Final answer
x = 392,452,711.20
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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.