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Finding the Fourth Proportional to 517,453.28, 775,256.50 and 280,644.92

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Solution

The fourth proportional to 517,453.28, 775,256.50 and 280,644.92 is: 420,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,453.28 : 775,256.50 = 280,644.92 : x
  2. Step 2: Convert to fraction form
    517,453.28/775,256.50 = 280,644.92/x
  3. Step 3: Cross multiply
    517,453.28x = 775,256.50 × 280,644.92
  4. Step 4: Simplify right side
    517,453.28x = 217,571,798,421.98
  5. Step 5: Solve for x
    x = 217,571,798,421.98/517,453.28
  6. Step 6: Final answer
    x = 420,466.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.