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Finding the Fourth Proportional to 603,102, 905,067.72 and 209,118

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Solution

The fourth proportional to 603,102, 905,067.72 and 209,118 is: 313,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,102 : 905,067.72 = 209,118 : x
  2. Step 2: Convert to fraction form
    603,102/905,067.72 = 209,118/x
  3. Step 3: Cross multiply
    603,102x = 905,067.72 × 209,118
  4. Step 4: Simplify right side
    603,102x = 189,265,951,470.96
  5. Step 5: Solve for x
    x = 189,265,951,470.96/603,102
  6. Step 6: Final answer
    x = 313,820.80

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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.