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Finding the Fourth Proportional to 291,238.90, 436,858.35 and 172,849.30

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Solution

The fourth proportional to 291,238.90, 436,858.35 and 172,849.30 is: 259,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,238.90 : 436,858.35 = 172,849.30 : x
  2. Step 2: Convert to fraction form
    291,238.90/436,858.35 = 172,849.30/x
  3. Step 3: Cross multiply
    291,238.90x = 436,858.35 × 172,849.30
  4. Step 4: Simplify right side
    291,238.90x = 75,510,659,996.66
  5. Step 5: Solve for x
    x = 75,510,659,996.66/291,238.90
  6. Step 6: Final answer
    x = 259,273.95

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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.