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Finding the Fourth Proportional to 494,881.96, 682,758.84 and 280,019.74

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Solution

The fourth proportional to 494,881.96, 682,758.84 and 280,019.74 is: 386,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,881.96 : 682,758.84 = 280,019.74 : x
  2. Step 2: Convert to fraction form
    494,881.96/682,758.84 = 280,019.74/x
  3. Step 3: Cross multiply
    494,881.96x = 682,758.84 × 280,019.74
  4. Step 4: Simplify right side
    494,881.96x = 191,185,952,859.50
  5. Step 5: Solve for x
    x = 191,185,952,859.50/494,881.96
  6. Step 6: Final answer
    x = 386,326.37

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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.