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Finding the Fourth Proportional to 492,390.44, 738,585.64 and 380,234.60

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Solution

The fourth proportional to 492,390.44, 738,585.64 and 380,234.60 is: 570,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,390.44 : 738,585.64 = 380,234.60 : x
  2. Step 2: Convert to fraction form
    492,390.44/738,585.64 = 380,234.60/x
  3. Step 3: Cross multiply
    492,390.44x = 738,585.64 × 380,234.60
  4. Step 4: Simplify right side
    492,390.44x = 280,835,815,391.14
  5. Step 5: Solve for x
    x = 280,835,815,391.14/492,390.44
  6. Step 6: Final answer
    x = 570,351.88

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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.