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Finding the Fourth Proportional to 321,900.34, 482,936.63 and 111,538.28

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Solution

The fourth proportional to 321,900.34, 482,936.63 and 111,538.28 is: 167,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,900.34 : 482,936.63 = 111,538.28 : x
  2. Step 2: Convert to fraction form
    321,900.34/482,936.63 = 111,538.28/x
  3. Step 3: Cross multiply
    321,900.34x = 482,936.63 × 111,538.28
  4. Step 4: Simplify right side
    321,900.34x = 53,865,921,059.20
  5. Step 5: Solve for x
    x = 53,865,921,059.20/321,900.34
  6. Step 6: Final answer
    x = 167,337.26

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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.