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Finding the Fourth Proportional to 259,405.70, 389,108.55 and 206,917.70

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Solution

The fourth proportional to 259,405.70, 389,108.55 and 206,917.70 is: 310,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,405.70 : 389,108.55 = 206,917.70 : x
  2. Step 2: Convert to fraction form
    259,405.70/389,108.55 = 206,917.70/x
  3. Step 3: Cross multiply
    259,405.70x = 389,108.55 × 206,917.70
  4. Step 4: Simplify right side
    259,405.70x = 80,513,446,216.34
  5. Step 5: Solve for x
    x = 80,513,446,216.34/259,405.70
  6. Step 6: Final answer
    x = 310,376.55

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1.5x scale

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.