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Finding the Fourth Proportional to 313,272.30, 469,908.45 and 76,611.90

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Solution

The fourth proportional to 313,272.30, 469,908.45 and 76,611.90 is: 114,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,272.30 : 469,908.45 = 76,611.90 : x
  2. Step 2: Convert to fraction form
    313,272.30/469,908.45 = 76,611.90/x
  3. Step 3: Cross multiply
    313,272.30x = 469,908.45 × 76,611.90
  4. Step 4: Simplify right side
    313,272.30x = 36,000,579,180.56
  5. Step 5: Solve for x
    x = 36,000,579,180.56/313,272.30
  6. Step 6: Final answer
    x = 114,917.85

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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.