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Finding the Fourth Proportional to 509,760.97, 764,592 and 154,778.07

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Solution

The fourth proportional to 509,760.97, 764,592 and 154,778.07 is: 232,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,760.97 : 764,592 = 154,778.07 : x
  2. Step 2: Convert to fraction form
    509,760.97/764,592 = 154,778.07/x
  3. Step 3: Cross multiply
    509,760.97x = 764,592 × 154,778.07
  4. Step 4: Simplify right side
    509,760.97x = 118,342,074,097.44
  5. Step 5: Solve for x
    x = 118,342,074,097.44/509,760.97
  6. Step 6: Final answer
    x = 232,152.09

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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.