Finding the Fourth Proportional to 876,244,319,073.05, 1,209,216,243,223.60 and 490,871,377,622.70
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Solution
The fourth proportional to 876,244,319,073.05, 1,209,216,243,223.60 and 490,871,377,622.70 is: 677,401,987,362.19
Step by Step Solution
- Step 1: Write the proportion equation
876,244,319,073.05 : 1,209,216,243,223.60 = 490,871,377,622.70 : x - Step 2: Convert to fraction form
876,244,319,073.05/1,209,216,243,223.60 = 490,871,377,622.70/x - Step 3: Cross multiply
876,244,319,073.05x = 1,209,216,243,223.60 × 490,871,377,622.70 - Step 4: Simplify right side
876,244,319,073.05x = 593,569,643,154,914,496,479,232 - Step 5: Solve for x
x = 593,569,643,154,914,496,479,232/876,244,319,073.05 - Step 6: Final answer
x = 677,401,987,362.19
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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.