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Finding the Fourth Proportional to 561,876.56, 842,421.11 and 206,844.51

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Solution

The fourth proportional to 561,876.56, 842,421.11 and 206,844.51 is: 310,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,876.56 : 842,421.11 = 206,844.51 : x
  2. Step 2: Convert to fraction form
    561,876.56/842,421.11 = 206,844.51/x
  3. Step 3: Cross multiply
    561,876.56x = 842,421.11 × 206,844.51
  4. Step 4: Simplify right side
    561,876.56x = 174,250,180,677.38
  5. Step 5: Solve for x
    x = 174,250,180,677.38/561,876.56
  6. Step 6: Final answer
    x = 310,121.82

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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.