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Finding the Fourth Proportional to 381,379.26, 571,987.89 and 144,638.94

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Solution

The fourth proportional to 381,379.26, 571,987.89 and 144,638.94 is: 216,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,379.26 : 571,987.89 = 144,638.94 : x
  2. Step 2: Convert to fraction form
    381,379.26/571,987.89 = 144,638.94/x
  3. Step 3: Cross multiply
    381,379.26x = 571,987.89 × 144,638.94
  4. Step 4: Simplify right side
    381,379.26x = 82,731,722,102.44
  5. Step 5: Solve for x
    x = 82,731,722,102.44/381,379.26
  6. Step 6: Final answer
    x = 216,927.69

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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.