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Finding the Fourth Proportional to 381,006.55, 571,109.73 and 128,199.27

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Solution

The fourth proportional to 381,006.55, 571,109.73 and 128,199.27 is: 192,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,006.55 : 571,109.73 = 128,199.27 : x
  2. Step 2: Convert to fraction form
    381,006.55/571,109.73 = 128,199.27/x
  3. Step 3: Cross multiply
    381,006.55x = 571,109.73 × 128,199.27
  4. Step 4: Simplify right side
    381,006.55x = 73,215,850,475.90
  5. Step 5: Solve for x
    x = 73,215,850,475.90/381,006.55
  6. Step 6: Final answer
    x = 192,164.28

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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.