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Finding the Fourth Proportional to 500,536.90, 690,752.07 and 285,672.64

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Solution

The fourth proportional to 500,536.90, 690,752.07 and 285,672.64 is: 394,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,536.90 : 690,752.07 = 285,672.64 : x
  2. Step 2: Convert to fraction form
    500,536.90/690,752.07 = 285,672.64/x
  3. Step 3: Cross multiply
    500,536.90x = 690,752.07 × 285,672.64
  4. Step 4: Simplify right side
    500,536.90x = 197,328,967,422.37
  5. Step 5: Solve for x
    x = 197,328,967,422.37/500,536.90
  6. Step 6: Final answer
    x = 394,234.61

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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.