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Finding the Fourth Proportional to 492,564.73, 738,847.10 and 380,408.54

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Solution

The fourth proportional to 492,564.73, 738,847.10 and 380,408.54 is: 570,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,564.73 : 738,847.10 = 380,408.54 : x
  2. Step 2: Convert to fraction form
    492,564.73/738,847.10 = 380,408.54/x
  3. Step 3: Cross multiply
    492,564.73x = 738,847.10 × 380,408.54
  4. Step 4: Simplify right side
    492,564.73x = 281,063,746,594.23
  5. Step 5: Solve for x
    x = 281,063,746,594.23/492,564.73
  6. Step 6: Final answer
    x = 570,612.81

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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.