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Finding the Fourth Proportional to 561,283.56, 842,257.53 and 206,546.72

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Solution

The fourth proportional to 561,283.56, 842,257.53 and 206,546.72 is: 309,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,283.56 : 842,257.53 = 206,546.72 : x
  2. Step 2: Convert to fraction form
    561,283.56/842,257.53 = 206,546.72/x
  3. Step 3: Cross multiply
    561,283.56x = 842,257.53 × 206,546.72
  4. Step 4: Simplify right side
    561,283.56x = 173,965,526,005.51
  5. Step 5: Solve for x
    x = 173,965,526,005.51/561,283.56
  6. Step 6: Final answer
    x = 309,942.32

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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.