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Finding the Fourth Proportional to 499,533.75, 749,103.38 and 199,958.49

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Solution

The fourth proportional to 499,533.75, 749,103.38 and 199,958.49 is: 299,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,533.75 : 749,103.38 = 199,958.49 : x
  2. Step 2: Convert to fraction form
    499,533.75/749,103.38 = 199,958.49/x
  3. Step 3: Cross multiply
    499,533.75x = 749,103.38 × 199,958.49
  4. Step 4: Simplify right side
    499,533.75x = 149,789,576,973.18
  5. Step 5: Solve for x
    x = 149,789,576,973.18/499,533.75
  6. Step 6: Final answer
    x = 299,858.78

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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.