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Finding the Fourth Proportional to 321,709.38, 482,596.87 and 111,346.71

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Solution

The fourth proportional to 321,709.38, 482,596.87 and 111,346.71 is: 167,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,709.38 : 482,596.87 = 111,346.71 : x
  2. Step 2: Convert to fraction form
    321,709.38/482,596.87 = 111,346.71/x
  3. Step 3: Cross multiply
    321,709.38x = 482,596.87 × 111,346.71
  4. Step 4: Simplify right side
    321,709.38x = 53,735,573,730.80
  5. Step 5: Solve for x
    x = 53,735,573,730.80/321,709.38
  6. Step 6: Final answer
    x = 167,031.42

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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.