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Finding the Fourth Proportional to 381,006.78, 571,533.90 and 100,524.30

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Solution

The fourth proportional to 381,006.78, 571,533.90 and 100,524.30 is: 150,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,006.78 : 571,533.90 = 100,524.30 : x
  2. Step 2: Convert to fraction form
    381,006.78/571,533.90 = 100,524.30/x
  3. Step 3: Cross multiply
    381,006.78x = 571,533.90 × 100,524.30
  4. Step 4: Simplify right side
    381,006.78x = 57,453,045,223.77
  5. Step 5: Solve for x
    x = 57,453,045,223.77/381,006.78
  6. Step 6: Final answer
    x = 150,792.71

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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.