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Finding the Fourth Proportional to 321,499.88, 482,281.80 and 119,150

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Solution

The fourth proportional to 321,499.88, 482,281.80 and 119,150 is: 178,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,499.88 : 482,281.80 = 119,150 : x
  2. Step 2: Convert to fraction form
    321,499.88/482,281.80 = 119,150/x
  3. Step 3: Cross multiply
    321,499.88x = 482,281.80 × 119,150
  4. Step 4: Simplify right side
    321,499.88x = 57,463,876,470
  5. Step 5: Solve for x
    x = 57,463,876,470/321,499.88
  6. Step 6: Final answer
    x = 178,736.85

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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.