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Finding the Fourth Proportional to 381,378.56, 572,152.89 and 125,222.54

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Solution

The fourth proportional to 381,378.56, 572,152.89 and 125,222.54 is: 187,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,378.56 : 572,152.89 = 125,222.54 : x
  2. Step 2: Convert to fraction form
    381,378.56/572,152.89 = 125,222.54/x
  3. Step 3: Cross multiply
    381,378.56x = 572,152.89 × 125,222.54
  4. Step 4: Simplify right side
    381,378.56x = 71,646,438,154.14
  5. Step 5: Solve for x
    x = 71,646,438,154.14/381,378.56
  6. Step 6: Final answer
    x = 187,861.74

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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.