Finding the Fourth Proportional to 509,190,284,202.88, 702,683,289,070.34 and 277,704,363,117.28
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Solution
The fourth proportional to 509,190,284,202.88, 702,683,289,070.34 and 277,704,363,117.28 is: 383,232,401,163.97
Step by Step Solution
- Step 1: Write the proportion equation
509,190,284,202.88 : 702,683,289,070.34 = 277,704,363,117.28 : x - Step 2: Convert to fraction form
509,190,284,202.88/702,683,289,070.34 = 277,704,363,117.28/x - Step 3: Cross multiply
509,190,284,202.88x = 702,683,289,070.34 × 277,704,363,117.28 - Step 4: Simplify right side
509,190,284,202.88x = 195,138,215,264,434,350,194,688 - Step 5: Solve for x
x = 195,138,215,264,434,350,194,688/509,190,284,202.88 - Step 6: Final answer
x = 383,232,401,163.97
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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.