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Finding the Fourth Proportional to 356,134.56, 491,512.60 and 203,137.72

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Solution

The fourth proportional to 356,134.56, 491,512.60 and 203,137.72 is: 280,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,134.56 : 491,512.60 = 203,137.72 : x
  2. Step 2: Convert to fraction form
    356,134.56/491,512.60 = 203,137.72/x
  3. Step 3: Cross multiply
    356,134.56x = 491,512.60 × 203,137.72
  4. Step 4: Simplify right side
    356,134.56x = 99,844,748,915.27
  5. Step 5: Solve for x
    x = 99,844,748,915.27/356,134.56
  6. Step 6: Final answer
    x = 280,356.81

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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.