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Finding the Fourth Proportional to 259,721.40, 389,873.70 and 200,818.20

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Solution

The fourth proportional to 259,721.40, 389,873.70 and 200,818.20 is: 301,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,721.40 : 389,873.70 = 200,818.20 : x
  2. Step 2: Convert to fraction form
    259,721.40/389,873.70 = 200,818.20/x
  3. Step 3: Cross multiply
    259,721.40x = 389,873.70 × 200,818.20
  4. Step 4: Simplify right side
    259,721.40x = 78,293,734,661.34
  5. Step 5: Solve for x
    x = 78,293,734,661.34/259,721.40
  6. Step 6: Final answer
    x = 301,452.77

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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.