Finding the Fourth Proportional to 1,370,146,263.12, 2,054,758,767.84 and 496,564,771.68
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Solution
The fourth proportional to 1,370,146,263.12, 2,054,758,767.84 and 496,564,771.68 is: 744,680,218.36
Step by Step Solution
- Step 1: Write the proportion equation
1,370,146,263.12 : 2,054,758,767.84 = 496,564,771.68 : x - Step 2: Convert to fraction form
1,370,146,263.12/2,054,758,767.84 = 496,564,771.68/x - Step 3: Cross multiply
1,370,146,263.12x = 2,054,758,767.84 × 496,564,771.68 - Step 4: Simplify right side
1,370,146,263.12x = 1,020,320,818,409,947,648 - Step 5: Solve for x
x = 1,020,320,818,409,947,648/1,370,146,263.12 - Step 6: Final answer
x = 744,680,218.36
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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.