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Finding the Fourth Proportional to 561,146.85, 842,055.65 and 206,196.75

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Solution

The fourth proportional to 561,146.85, 842,055.65 and 206,196.75 is: 309,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,146.85 : 842,055.65 = 206,196.75 : x
  2. Step 2: Convert to fraction form
    561,146.85/842,055.65 = 206,196.75/x
  3. Step 3: Cross multiply
    561,146.85x = 842,055.65 × 206,196.75
  4. Step 4: Simplify right side
    561,146.85x = 173,629,137,318.15
  5. Step 5: Solve for x
    x = 173,629,137,318.15/561,146.85
  6. Step 6: Final answer
    x = 309,418.36

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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.