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Finding the Fourth Proportional to 288,945, 398,744.10 and 188,343

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Solution

The fourth proportional to 288,945, 398,744.10 and 188,343 is: 259,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,945 : 398,744.10 = 188,343 : x
  2. Step 2: Convert to fraction form
    288,945/398,744.10 = 188,343/x
  3. Step 3: Cross multiply
    288,945x = 398,744.10 × 188,343
  4. Step 4: Simplify right side
    288,945x = 75,100,660,026.30
  5. Step 5: Solve for x
    x = 75,100,660,026.30/288,945
  6. Step 6: Final answer
    x = 259,913.34

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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.