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Finding the Fourth Proportional to 509,361.39, 764,041.26 and 135,384.39

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Solution

The fourth proportional to 509,361.39, 764,041.26 and 135,384.39 is: 203,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,361.39 : 764,041.26 = 135,384.39 : x
  2. Step 2: Convert to fraction form
    509,361.39/764,041.26 = 135,384.39/x
  3. Step 3: Cross multiply
    509,361.39x = 764,041.26 × 135,384.39
  4. Step 4: Simplify right side
    509,361.39x = 103,439,259,919.93
  5. Step 5: Solve for x
    x = 103,439,259,919.93/509,361.39
  6. Step 6: Final answer
    x = 203,076.37

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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.