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Finding the Fourth Proportional to 509,721.22, 764,286.63 and 172,648.90

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Solution

The fourth proportional to 509,721.22, 764,286.63 and 172,648.90 is: 258,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,721.22 : 764,286.63 = 172,648.90 : x
  2. Step 2: Convert to fraction form
    509,721.22/764,286.63 = 172,648.90/x
  3. Step 3: Cross multiply
    509,721.22x = 764,286.63 × 172,648.90
  4. Step 4: Simplify right side
    509,721.22x = 131,953,245,954.21
  5. Step 5: Solve for x
    x = 131,953,245,954.21/509,721.22
  6. Step 6: Final answer
    x = 258,873.36

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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.