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Finding the Fourth Proportional to 381,568.70, 526,589.70 and 220,430.54

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Solution

The fourth proportional to 381,568.70, 526,589.70 and 220,430.54 is: 304,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,568.70 : 526,589.70 = 220,430.54 : x
  2. Step 2: Convert to fraction form
    381,568.70/526,589.70 = 220,430.54/x
  3. Step 3: Cross multiply
    381,568.70x = 526,589.70 × 220,430.54
  4. Step 4: Simplify right side
    381,568.70x = 116,076,451,929.44
  5. Step 5: Solve for x
    x = 116,076,451,929.44/381,568.70
  6. Step 6: Final answer
    x = 304,208.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.