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Finding the Fourth Proportional to 639,892.32, 959,739.84 and 213,435.60

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Solution

The fourth proportional to 639,892.32, 959,739.84 and 213,435.60 is: 320,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,892.32 : 959,739.84 = 213,435.60 : x
  2. Step 2: Convert to fraction form
    639,892.32/959,739.84 = 213,435.60/x
  3. Step 3: Cross multiply
    639,892.32x = 959,739.84 × 213,435.60
  4. Step 4: Simplify right side
    639,892.32x = 204,842,648,594.30
  5. Step 5: Solve for x
    x = 204,842,648,594.30/639,892.32
  6. Step 6: Final answer
    x = 320,120.50

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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.