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Finding the Fourth Proportional to 381,000.78, 571,524.90 and 100,518.30

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Solution

The fourth proportional to 381,000.78, 571,524.90 and 100,518.30 is: 150,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,000.78 : 571,524.90 = 100,518.30 : x
  2. Step 2: Convert to fraction form
    381,000.78/571,524.90 = 100,518.30/x
  3. Step 3: Cross multiply
    381,000.78x = 571,524.90 × 100,518.30
  4. Step 4: Simplify right side
    381,000.78x = 57,448,711,355.67
  5. Step 5: Solve for x
    x = 57,448,711,355.67/381,000.78
  6. Step 6: Final answer
    x = 150,783.71

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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.