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Finding the Fourth Proportional to 383,517.90, 529,257.30 and 213,762.96

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Solution

The fourth proportional to 383,517.90, 529,257.30 and 213,762.96 is: 294,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,517.90 : 529,257.30 = 213,762.96 : x
  2. Step 2: Convert to fraction form
    383,517.90/529,257.30 = 213,762.96/x
  3. Step 3: Cross multiply
    383,517.90x = 529,257.30 × 213,762.96
  4. Step 4: Simplify right side
    383,517.90x = 113,135,607,049.61
  5. Step 5: Solve for x
    x = 113,135,607,049.61/383,517.90
  6. Step 6: Final answer
    x = 294,994.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.