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Finding the Fourth Proportional to 291,229.30, 436,843.95 and 172,839.70

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Solution

The fourth proportional to 291,229.30, 436,843.95 and 172,839.70 is: 259,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,229.30 : 436,843.95 = 172,839.70 : x
  2. Step 2: Convert to fraction form
    291,229.30/436,843.95 = 172,839.70/x
  3. Step 3: Cross multiply
    291,229.30x = 436,843.95 × 172,839.70
  4. Step 4: Simplify right side
    291,229.30x = 75,503,977,264.82
  5. Step 5: Solve for x
    x = 75,503,977,264.82/291,229.30
  6. Step 6: Final answer
    x = 259,259.55

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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.