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Finding the Fourth Proportional to 603,103, 905,069.22 and 209,119

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Solution

The fourth proportional to 603,103, 905,069.22 and 209,119 is: 313,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,103 : 905,069.22 = 209,119 : x
  2. Step 2: Convert to fraction form
    603,103/905,069.22 = 209,119/x
  3. Step 3: Cross multiply
    603,103x = 905,069.22 × 209,119
  4. Step 4: Simplify right side
    603,103x = 189,267,170,217.18
  5. Step 5: Solve for x
    x = 189,267,170,217.18/603,103
  6. Step 6: Final answer
    x = 313,822.30

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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.