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Finding the Fourth Proportional to 561,308.40, 842,331.24 and 206,325.36

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Solution

The fourth proportional to 561,308.40, 842,331.24 and 206,325.36 is: 309,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,308.40 : 842,331.24 = 206,325.36 : x
  2. Step 2: Convert to fraction form
    561,308.40/842,331.24 = 206,325.36/x
  3. Step 3: Cross multiply
    561,308.40x = 842,331.24 × 206,325.36
  4. Step 4: Simplify right side
    561,308.40x = 173,794,296,332.25
  5. Step 5: Solve for x
    x = 173,794,296,332.25/561,308.40
  6. Step 6: Final answer
    x = 309,623.54

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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.