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Finding the Fourth Proportional to 392,648.60, 541,857.70 and 222,885.56

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Solution

The fourth proportional to 392,648.60, 541,857.70 and 222,885.56 is: 307,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,648.60 : 541,857.70 = 222,885.56 : x
  2. Step 2: Convert to fraction form
    392,648.60/541,857.70 = 222,885.56/x
  3. Step 3: Cross multiply
    392,648.60x = 541,857.70 × 222,885.56
  4. Step 4: Simplify right side
    392,648.60x = 120,772,256,904.81
  5. Step 5: Solve for x
    x = 120,772,256,904.81/392,648.60
  6. Step 6: Final answer
    x = 307,583.57

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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.