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Finding the Fourth Proportional to 291,714.75, 437,645.97 and 81,352.69

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Solution

The fourth proportional to 291,714.75, 437,645.97 and 81,352.69 is: 122,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,714.75 : 437,645.97 = 81,352.69 : x
  2. Step 2: Convert to fraction form
    291,714.75/437,645.97 = 81,352.69/x
  3. Step 3: Cross multiply
    291,714.75x = 437,645.97 × 81,352.69
  4. Step 4: Simplify right side
    291,714.75x = 35,603,675,833.04
  5. Step 5: Solve for x
    x = 35,603,675,833.04/291,714.75
  6. Step 6: Final answer
    x = 122,049.62

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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.