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Finding the Fourth Proportional to 321,814.30, 482,705.76 and 119,449.82

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Solution

The fourth proportional to 321,814.30, 482,705.76 and 119,449.82 is: 179,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,814.30 : 482,705.76 = 119,449.82 : x
  2. Step 2: Convert to fraction form
    321,814.30/482,705.76 = 119,449.82/x
  3. Step 3: Cross multiply
    321,814.30x = 482,705.76 × 119,449.82
  4. Step 4: Simplify right side
    321,814.30x = 57,659,116,144.96
  5. Step 5: Solve for x
    x = 57,659,116,144.96/321,814.30
  6. Step 6: Final answer
    x = 179,168.91

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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.