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Finding the Fourth Proportional to 281,637.60, 422,318.16 and 139,318.44

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Solution

The fourth proportional to 281,637.60, 422,318.16 and 139,318.44 is: 208,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,637.60 : 422,318.16 = 139,318.44 : x
  2. Step 2: Convert to fraction form
    281,637.60/422,318.16 = 139,318.44/x
  3. Step 3: Cross multiply
    281,637.60x = 422,318.16 × 139,318.44
  4. Step 4: Simplify right side
    281,637.60x = 58,836,707,234.87
  5. Step 5: Solve for x
    x = 58,836,707,234.87/281,637.60
  6. Step 6: Final answer
    x = 208,909.28

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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.