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Finding the Fourth Proportional to 509,533.20, 764,105.40 and 154,429.20

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Solution

The fourth proportional to 509,533.20, 764,105.40 and 154,429.20 is: 231,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,533.20 : 764,105.40 = 154,429.20 : x
  2. Step 2: Convert to fraction form
    509,533.20/764,105.40 = 154,429.20/x
  3. Step 3: Cross multiply
    509,533.20x = 764,105.40 × 154,429.20
  4. Step 4: Simplify right side
    509,533.20x = 118,000,185,637.68
  5. Step 5: Solve for x
    x = 118,000,185,637.68/509,533.20
  6. Step 6: Final answer
    x = 231,584.88

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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.