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Finding the Fourth Proportional to 509,990.64, 764,986.92 and 177,567.60

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Solution

The fourth proportional to 509,990.64, 764,986.92 and 177,567.60 is: 266,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,990.64 : 764,986.92 = 177,567.60 : x
  2. Step 2: Convert to fraction form
    509,990.64/764,986.92 = 177,567.60/x
  3. Step 3: Cross multiply
    509,990.64x = 764,986.92 × 177,567.60
  4. Step 4: Simplify right side
    509,990.64x = 135,836,891,415.79
  5. Step 5: Solve for x
    x = 135,836,891,415.79/509,990.64
  6. Step 6: Final answer
    x = 266,351.73

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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.