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Finding the Fourth Proportional to 381,840.72, 572,716.20 and 101,379.60

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Solution

The fourth proportional to 381,840.72, 572,716.20 and 101,379.60 is: 152,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,840.72 : 572,716.20 = 101,379.60 : x
  2. Step 2: Convert to fraction form
    381,840.72/572,716.20 = 101,379.60/x
  3. Step 3: Cross multiply
    381,840.72x = 572,716.20 × 101,379.60
  4. Step 4: Simplify right side
    381,840.72x = 58,061,739,269.52
  5. Step 5: Solve for x
    x = 58,061,739,269.52/381,840.72
  6. Step 6: Final answer
    x = 152,057.48

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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.