Finding the Fourth Proportional to 208,692,288,163.20, 313,038,432,244.80 and 194,641,838,428.80
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Solution
The fourth proportional to 208,692,288,163.20, 313,038,432,244.80 and 194,641,838,428.80 is: 291,962,757,643.20
Step by Step Solution
- Step 1: Write the proportion equation
208,692,288,163.20 : 313,038,432,244.80 = 194,641,838,428.80 : x - Step 2: Convert to fraction form
208,692,288,163.20/313,038,432,244.80 = 194,641,838,428.80/x - Step 3: Cross multiply
208,692,288,163.20x = 313,038,432,244.80 × 194,641,838,428.80 - Step 4: Simplify right side
208,692,288,163.20x = 60,930,375,950,997,211,054,080 - Step 5: Solve for x
x = 60,930,375,950,997,211,054,080/208,692,288,163.20 - Step 6: Final answer
x = 291,962,757,643.20
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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.