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Finding the Fourth Proportional to 351,898.56, 485,645.76 and 200,992.32

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Solution

The fourth proportional to 351,898.56, 485,645.76 and 200,992.32 is: 277,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,898.56 : 485,645.76 = 200,992.32 : x
  2. Step 2: Convert to fraction form
    351,898.56/485,645.76 = 200,992.32/x
  3. Step 3: Cross multiply
    351,898.56x = 485,645.76 × 200,992.32
  4. Step 4: Simplify right side
    351,898.56x = 97,611,068,000.56
  5. Step 5: Solve for x
    x = 97,611,068,000.56/351,898.56
  6. Step 6: Final answer
    x = 277,384.11

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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.