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Finding the Fourth Proportional to 509,791.20, 764,492.40 and 154,687.20

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Solution

The fourth proportional to 509,791.20, 764,492.40 and 154,687.20 is: 231,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,791.20 : 764,492.40 = 154,687.20 : x
  2. Step 2: Convert to fraction form
    509,791.20/764,492.40 = 154,687.20/x
  3. Step 3: Cross multiply
    509,791.20x = 764,492.40 × 154,687.20
  4. Step 4: Simplify right side
    509,791.20x = 118,257,188,777.28
  5. Step 5: Solve for x
    x = 118,257,188,777.28/509,791.20
  6. Step 6: Final answer
    x = 231,971.81

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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.