Finding the Fourth Proportional to 485,827,114,847.79, 670,118,593,977.15 and 312,431,471,242.68
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Solution
The fourth proportional to 485,827,114,847.79, 670,118,593,977.15 and 312,431,471,242.68 is: 430,947,824,492.98
Step by Step Solution
- Step 1: Write the proportion equation
485,827,114,847.79 : 670,118,593,977.15 = 312,431,471,242.68 : x - Step 2: Convert to fraction form
485,827,114,847.79/670,118,593,977.15 = 312,431,471,242.68/x - Step 3: Cross multiply
485,827,114,847.79x = 670,118,593,977.15 × 312,431,471,242.68 - Step 4: Simplify right side
485,827,114,847.79x = 209,366,138,223,357,113,401,344 - Step 5: Solve for x
x = 209,366,138,223,357,113,401,344/485,827,114,847.79 - Step 6: Final answer
x = 430,947,824,492.98
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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.