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Finding the Fourth Proportional to 321,871.76, 482,645.64 and 111,453.20

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Solution

The fourth proportional to 321,871.76, 482,645.64 and 111,453.20 is: 167,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,871.76 : 482,645.64 = 111,453.20 : x
  2. Step 2: Convert to fraction form
    321,871.76/482,645.64 = 111,453.20/x
  3. Step 3: Cross multiply
    321,871.76x = 482,645.64 × 111,453.20
  4. Step 4: Simplify right side
    321,871.76x = 53,792,401,044.05
  5. Step 5: Solve for x
    x = 53,792,401,044.05/321,871.76
  6. Step 6: Final answer
    x = 167,123.70

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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.