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Finding the Fourth Proportional to 509,576.64, 764,503.20 and 177,178.56

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Solution

The fourth proportional to 509,576.64, 764,503.20 and 177,178.56 is: 265,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,576.64 : 764,503.20 = 177,178.56 : x
  2. Step 2: Convert to fraction form
    509,576.64/764,503.20 = 177,178.56/x
  3. Step 3: Cross multiply
    509,576.64x = 764,503.20 × 177,178.56
  4. Step 4: Simplify right side
    509,576.64x = 135,453,576,091.39
  5. Step 5: Solve for x
    x = 135,453,576,091.39/509,576.64
  6. Step 6: Final answer
    x = 265,815.91

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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.