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Finding the Fourth Proportional to 381,238.90, 571,692.20 and 128,472.28

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Solution

The fourth proportional to 381,238.90, 571,692.20 and 128,472.28 is: 192,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,238.90 : 571,692.20 = 128,472.28 : x
  2. Step 2: Convert to fraction form
    381,238.90/571,692.20 = 128,472.28/x
  3. Step 3: Cross multiply
    381,238.90x = 571,692.20 × 128,472.28
  4. Step 4: Simplify right side
    381,238.90x = 73,446,600,392.22
  5. Step 5: Solve for x
    x = 73,446,600,392.22/381,238.90
  6. Step 6: Final answer
    x = 192,652.43

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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.