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Finding the Fourth Proportional to 494,720, 682,713.96 and 268,366.40

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Solution

The fourth proportional to 494,720, 682,713.96 and 268,366.40 is: 370,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,720 : 682,713.96 = 268,366.40 : x
  2. Step 2: Convert to fraction form
    494,720/682,713.96 = 268,366.40/x
  3. Step 3: Cross multiply
    494,720x = 682,713.96 × 268,366.40
  4. Step 4: Simplify right side
    494,720x = 183,217,487,674.94
  5. Step 5: Solve for x
    x = 183,217,487,674.94/494,720
  6. Step 6: Final answer
    x = 370,345.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.