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Finding the Fourth Proportional to 439,380, 659,070.14 and 106,956

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Solution

The fourth proportional to 439,380, 659,070.14 and 106,956 is: 160,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,380 : 659,070.14 = 106,956 : x
  2. Step 2: Convert to fraction form
    439,380/659,070.14 = 106,956/x
  3. Step 3: Cross multiply
    439,380x = 659,070.14 × 106,956
  4. Step 4: Simplify right side
    439,380x = 70,491,505,359.06
  5. Step 5: Solve for x
    x = 70,491,505,359.06/439,380
  6. Step 6: Final answer
    x = 160,434.03

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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.