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Finding the Fourth Proportional to 561,814.56, 842,805.77 and 206,801.60

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Solution

The fourth proportional to 561,814.56, 842,805.77 and 206,801.60 is: 310,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,814.56 : 842,805.77 = 206,801.60 : x
  2. Step 2: Convert to fraction form
    561,814.56/842,805.77 = 206,801.60/x
  3. Step 3: Cross multiply
    561,814.56x = 842,805.77 × 206,801.60
  4. Step 4: Simplify right side
    561,814.56x = 174,293,576,477.20
  5. Step 5: Solve for x
    x = 174,293,576,477.20/561,814.56
  6. Step 6: Final answer
    x = 310,233.28

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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.