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Finding the Fourth Proportional to 412,793.20, 618,898.20 and 188,261.20

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Solution

The fourth proportional to 412,793.20, 618,898.20 and 188,261.20 is: 282,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,793.20 : 618,898.20 = 188,261.20 : x
  2. Step 2: Convert to fraction form
    412,793.20/618,898.20 = 188,261.20/x
  3. Step 3: Cross multiply
    412,793.20x = 618,898.20 × 188,261.20
  4. Step 4: Simplify right side
    412,793.20x = 116,514,517,809.84
  5. Step 5: Solve for x
    x = 116,514,517,809.84/412,793.20
  6. Step 6: Final answer
    x = 282,258.81

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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.