Finding the Fourth Proportional to 1,536,134,117.68, 2,303,941,286.14 and 430,484,507.80
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Solution
The fourth proportional to 1,536,134,117.68, 2,303,941,286.14 and 430,484,507.80 is: 645,653,930.30
Step by Step Solution
- Step 1: Write the proportion equation
1,536,134,117.68 : 2,303,941,286.14 = 430,484,507.80 : x - Step 2: Convert to fraction form
1,536,134,117.68/2,303,941,286.14 = 430,484,507.80/x - Step 3: Cross multiply
1,536,134,117.68x = 2,303,941,286.14 × 430,484,507.80 - Step 4: Simplify right side
1,536,134,117.68x = 991,811,030,550,404,864 - Step 5: Solve for x
x = 991,811,030,550,404,864/1,536,134,117.68 - Step 6: Final answer
x = 645,653,930.30
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1.5x scale
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.