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Finding the Fourth Proportional to 381,013.22, 571,119.70 and 128,205.94

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Solution

The fourth proportional to 381,013.22, 571,119.70 and 128,205.94 is: 192,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,013.22 : 571,119.70 = 128,205.94 : x
  2. Step 2: Convert to fraction form
    381,013.22/571,119.70 = 128,205.94/x
  3. Step 3: Cross multiply
    381,013.22x = 571,119.70 × 128,205.94
  4. Step 4: Simplify right side
    381,013.22x = 73,220,937,991.02
  5. Step 5: Solve for x
    x = 73,220,937,991.02/381,013.22
  6. Step 6: Final answer
    x = 192,174.27

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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.