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Finding the Fourth Proportional to 253,695, 380,527.92 and 76,198.08

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Solution

The fourth proportional to 253,695, 380,527.92 and 76,198.08 is: 114,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,695 : 380,527.92 = 76,198.08 : x
  2. Step 2: Convert to fraction form
    253,695/380,527.92 = 76,198.08/x
  3. Step 3: Cross multiply
    253,695x = 380,527.92 × 76,198.08
  4. Step 4: Simplify right side
    253,695x = 28,995,496,890.39
  5. Step 5: Solve for x
    x = 28,995,496,890.39/253,695
  6. Step 6: Final answer
    x = 114,292.74

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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.