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Finding the Fourth Proportional to 457,796.68, 686,144.20 and 169,378.37

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Solution

The fourth proportional to 457,796.68, 686,144.20 and 169,378.37 is: 253,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,796.68 : 686,144.20 = 169,378.37 : x
  2. Step 2: Convert to fraction form
    457,796.68/686,144.20 = 169,378.37/x
  3. Step 3: Cross multiply
    457,796.68x = 686,144.20 × 169,378.37
  4. Step 4: Simplify right side
    457,796.68x = 116,217,982,930.35
  5. Step 5: Solve for x
    x = 116,217,982,930.35/457,796.68
  6. Step 6: Final answer
    x = 253,863.75

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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.