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Finding the Fourth Proportional to 351,714.54, 485,354.76 and 200,811.54

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Solution

The fourth proportional to 351,714.54, 485,354.76 and 200,811.54 is: 277,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,714.54 : 485,354.76 = 200,811.54 : x
  2. Step 2: Convert to fraction form
    351,714.54/485,354.76 = 200,811.54/x
  3. Step 3: Cross multiply
    351,714.54x = 485,354.76 × 200,811.54
  4. Step 4: Simplify right side
    351,714.54x = 97,464,836,801.93
  5. Step 5: Solve for x
    x = 97,464,836,801.93/351,714.54
  6. Step 6: Final answer
    x = 277,113.47

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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.