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Finding the Fourth Proportional to 213,410.60, 293,656.72 and 206,917.64

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Solution

The fourth proportional to 213,410.60, 293,656.72 and 206,917.64 is: 284,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,410.60 : 293,656.72 = 206,917.64 : x
  2. Step 2: Convert to fraction form
    213,410.60/293,656.72 = 206,917.64/x
  3. Step 3: Cross multiply
    213,410.60x = 293,656.72 × 206,917.64
  4. Step 4: Simplify right side
    213,410.60x = 60,762,755,472.54
  5. Step 5: Solve for x
    x = 60,762,755,472.54/213,410.60
  6. Step 6: Final answer
    x = 284,722.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.