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Finding the Fourth Proportional to 509,494.75, 764,241.64 and 130,414.88

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Solution

The fourth proportional to 509,494.75, 764,241.64 and 130,414.88 is: 195,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,494.75 : 764,241.64 = 130,414.88 : x
  2. Step 2: Convert to fraction form
    509,494.75/764,241.64 = 130,414.88/x
  3. Step 3: Cross multiply
    509,494.75x = 764,241.64 × 130,414.88
  4. Step 4: Simplify right side
    509,494.75x = 99,668,483,356.17
  5. Step 5: Solve for x
    x = 99,668,483,356.17/509,494.75
  6. Step 6: Final answer
    x = 195,622.20

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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.