Finding the Fourth Proportional to 830,305,544,937.12, 1,245,332,477,184.80 and 225,977,843,139.84
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Solution
The fourth proportional to 830,305,544,937.12, 1,245,332,477,184.80 and 225,977,843,139.84 is: 338,932,515,749.40
Step by Step Solution
- Step 1: Write the proportion equation
830,305,544,937.12 : 1,245,332,477,184.80 = 225,977,843,139.84 : x - Step 2: Convert to fraction form
830,305,544,937.12/1,245,332,477,184.80 = 225,977,843,139.84/x - Step 3: Cross multiply
830,305,544,937.12x = 1,245,332,477,184.80 × 225,977,843,139.84 - Step 4: Simplify right side
830,305,544,937.12x = 281,417,547,186,215,124,467,712 - Step 5: Solve for x
x = 281,417,547,186,215,124,467,712/830,305,544,937.12 - Step 6: Final answer
x = 338,932,515,749.40
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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.