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Finding the Fourth Proportional to 509,440, 764,276.64 and 177,016

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Solution

The fourth proportional to 509,440, 764,276.64 and 177,016 is: 265,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,440 : 764,276.64 = 177,016 : x
  2. Step 2: Convert to fraction form
    509,440/764,276.64 = 177,016/x
  3. Step 3: Cross multiply
    509,440x = 764,276.64 × 177,016
  4. Step 4: Simplify right side
    509,440x = 135,289,193,706.24
  5. Step 5: Solve for x
    x = 135,289,193,706.24/509,440
  6. Step 6: Final answer
    x = 265,564.53

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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.