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Finding the Fourth Proportional to 509,619.60, 764,429.40 and 154,616.40

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Solution

The fourth proportional to 509,619.60, 764,429.40 and 154,616.40 is: 231,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,619.60 : 764,429.40 = 154,616.40 : x
  2. Step 2: Convert to fraction form
    509,619.60/764,429.40 = 154,616.40/x
  3. Step 3: Cross multiply
    509,619.60x = 764,429.40 × 154,616.40
  4. Step 4: Simplify right side
    509,619.60x = 118,193,321,882.16
  5. Step 5: Solve for x
    x = 118,193,321,882.16/509,619.60
  6. Step 6: Final answer
    x = 231,924.60

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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.