Finding the Fourth Proportional to 408,837,646,749.36, 612,708,296,953.08 and 318,188,524,263.28
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Solution
The fourth proportional to 408,837,646,749.36, 612,708,296,953.08 and 318,188,524,263.28 is: 476,856,156,377.61
Step by Step Solution
- Step 1: Write the proportion equation
408,837,646,749.36 : 612,708,296,953.08 = 318,188,524,263.28 : x - Step 2: Convert to fraction form
408,837,646,749.36/612,708,296,953.08 = 318,188,524,263.28/x - Step 3: Cross multiply
408,837,646,749.36x = 612,708,296,953.08 × 318,188,524,263.28 - Step 4: Simplify right side
408,837,646,749.36x = 194,956,748,811,368,065,400,832 - Step 5: Solve for x
x = 194,956,748,811,368,065,400,832/408,837,646,749.36 - Step 6: Final answer
x = 476,856,156,377.61
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.