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Finding the Fourth Proportional to 309,912.30, 464,868.45 and 291,249.90

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Solution

The fourth proportional to 309,912.30, 464,868.45 and 291,249.90 is: 436,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,912.30 : 464,868.45 = 291,249.90 : x
  2. Step 2: Convert to fraction form
    309,912.30/464,868.45 = 291,249.90/x
  3. Step 3: Cross multiply
    309,912.30x = 464,868.45 × 291,249.90
  4. Step 4: Simplify right side
    309,912.30x = 135,392,889,575.66
  5. Step 5: Solve for x
    x = 135,392,889,575.66/309,912.30
  6. Step 6: Final answer
    x = 436,874.85

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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.