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Finding the Fourth Proportional to 458,505.24, 686,494.26 and 345,844.37

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Solution

The fourth proportional to 458,505.24, 686,494.26 and 345,844.37 is: 517,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,505.24 : 686,494.26 = 345,844.37 : x
  2. Step 2: Convert to fraction form
    458,505.24/686,494.26 = 345,844.37/x
  3. Step 3: Cross multiply
    458,505.24x = 686,494.26 × 345,844.37
  4. Step 4: Simplify right side
    458,505.24x = 237,420,171,425.85
  5. Step 5: Solve for x
    x = 237,420,171,425.85/458,505.24
  6. Step 6: Final answer
    x = 517,813.43

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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.