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Finding the Fourth Proportional to 509,540.40, 764,313.30 and 154,554.75

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Solution

The fourth proportional to 509,540.40, 764,313.30 and 154,554.75 is: 231,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,540.40 : 764,313.30 = 154,554.75 : x
  2. Step 2: Convert to fraction form
    509,540.40/764,313.30 = 154,554.75/x
  3. Step 3: Cross multiply
    509,540.40x = 764,313.30 × 154,554.75
  4. Step 4: Simplify right side
    509,540.40x = 118,128,251,003.18
  5. Step 5: Solve for x
    x = 118,128,251,003.18/509,540.40
  6. Step 6: Final answer
    x = 231,832.94

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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.