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Finding the Fourth Proportional to 509,324.58, 763,512.03 and 172,129.46

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Solution

The fourth proportional to 509,324.58, 763,512.03 and 172,129.46 is: 258,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,324.58 : 763,512.03 = 172,129.46 : x
  2. Step 2: Convert to fraction form
    509,324.58/763,512.03 = 172,129.46/x
  3. Step 3: Cross multiply
    509,324.58x = 763,512.03 × 172,129.46
  4. Step 4: Simplify right side
    509,324.58x = 131,422,909,609.84
  5. Step 5: Solve for x
    x = 131,422,909,609.84/509,324.58
  6. Step 6: Final answer
    x = 258,033.71

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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.