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Finding the Fourth Proportional to 291,296.90, 436,945.35 and 172,907.30

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Solution

The fourth proportional to 291,296.90, 436,945.35 and 172,907.30 is: 259,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,296.90 : 436,945.35 = 172,907.30 : x
  2. Step 2: Convert to fraction form
    291,296.90/436,945.35 = 172,907.30/x
  3. Step 3: Cross multiply
    291,296.90x = 436,945.35 × 172,907.30
  4. Step 4: Simplify right side
    291,296.90x = 75,551,040,716.06
  5. Step 5: Solve for x
    x = 75,551,040,716.06/291,296.90
  6. Step 6: Final answer
    x = 259,360.95

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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.