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Finding the Fourth Proportional to 509,822.40, 764,748.12 and 172,864

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Solution

The fourth proportional to 509,822.40, 764,748.12 and 172,864 is: 259,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,822.40 : 764,748.12 = 172,864 : x
  2. Step 2: Convert to fraction form
    509,822.40/764,748.12 = 172,864/x
  3. Step 3: Cross multiply
    509,822.40x = 764,748.12 × 172,864
  4. Step 4: Simplify right side
    509,822.40x = 132,197,419,015.68
  5. Step 5: Solve for x
    x = 132,197,419,015.68/509,822.40
  6. Step 6: Final answer
    x = 259,300.92

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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.