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Finding the Fourth Proportional to 509,812.38, 764,820.63 and 285,491.79

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Solution

The fourth proportional to 509,812.38, 764,820.63 and 285,491.79 is: 428,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,812.38 : 764,820.63 = 285,491.79 : x
  2. Step 2: Convert to fraction form
    509,812.38/764,820.63 = 285,491.79/x
  3. Step 3: Cross multiply
    509,812.38x = 764,820.63 × 285,491.79
  4. Step 4: Simplify right side
    509,812.38x = 218,350,010,687.63
  5. Step 5: Solve for x
    x = 218,350,010,687.63/509,812.38
  6. Step 6: Final answer
    x = 428,294.84

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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.