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Finding the Fourth Proportional to 380,892.42, 525,648.60 and 217,563.12

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Solution

The fourth proportional to 380,892.42, 525,648.60 and 217,563.12 is: 300,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,892.42 : 525,648.60 = 217,563.12 : x
  2. Step 2: Convert to fraction form
    380,892.42/525,648.60 = 217,563.12/x
  3. Step 3: Cross multiply
    380,892.42x = 525,648.60 × 217,563.12
  4. Step 4: Simplify right side
    380,892.42x = 114,361,749,439.63
  5. Step 5: Solve for x
    x = 114,361,749,439.63/380,892.42
  6. Step 6: Final answer
    x = 300,246.85

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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.