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Finding the Fourth Proportional to 457,325.05, 685,710.54 and 204,558.43

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Solution

The fourth proportional to 457,325.05, 685,710.54 and 204,558.43 is: 306,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,325.05 : 685,710.54 = 204,558.43 : x
  2. Step 2: Convert to fraction form
    457,325.05/685,710.54 = 204,558.43/x
  3. Step 3: Cross multiply
    457,325.05x = 685,710.54 × 204,558.43
  4. Step 4: Simplify right side
    457,325.05x = 140,267,871,496.85
  5. Step 5: Solve for x
    x = 140,267,871,496.85/457,325.05
  6. Step 6: Final answer
    x = 306,713.73

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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.