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Finding the Fourth Proportional to 291,188.88, 436,855.84 and 231,442.80

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Solution

The fourth proportional to 291,188.88, 436,855.84 and 231,442.80 is: 347,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,188.88 : 436,855.84 = 231,442.80 : x
  2. Step 2: Convert to fraction form
    291,188.88/436,855.84 = 231,442.80/x
  3. Step 3: Cross multiply
    291,188.88x = 436,855.84 × 231,442.80
  4. Step 4: Simplify right side
    291,188.88x = 101,107,138,805.95
  5. Step 5: Solve for x
    x = 101,107,138,805.95/291,188.88
  6. Step 6: Final answer
    x = 347,221.84

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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.