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Finding the Fourth Proportional to 509,703, 764,540.74 and 125,455.28

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Solution

The fourth proportional to 509,703, 764,540.74 and 125,455.28 is: 188,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,703 : 764,540.74 = 125,455.28 : x
  2. Step 2: Convert to fraction form
    509,703/764,540.74 = 125,455.28/x
  3. Step 3: Cross multiply
    509,703x = 764,540.74 × 125,455.28
  4. Step 4: Simplify right side
    509,703x = 95,915,672,608.11
  5. Step 5: Solve for x
    x = 95,915,672,608.11/509,703
  6. Step 6: Final answer
    x = 188,179.53

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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.