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Finding the Fourth Proportional to 321,966, 482,949 and 111,603.92

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Solution

The fourth proportional to 321,966, 482,949 and 111,603.92 is: 167,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,966 : 482,949 = 111,603.92 : x
  2. Step 2: Convert to fraction form
    321,966/482,949 = 111,603.92/x
  3. Step 3: Cross multiply
    321,966x = 482,949 × 111,603.92
  4. Step 4: Simplify right side
    321,966x = 53,899,001,560.08
  5. Step 5: Solve for x
    x = 53,899,001,560.08/321,966
  6. Step 6: Final answer
    x = 167,405.88

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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.