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Finding the Fourth Proportional to 603,097, 905,060.22 and 209,113

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Solution

The fourth proportional to 603,097, 905,060.22 and 209,113 is: 313,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,097 : 905,060.22 = 209,113 : x
  2. Step 2: Convert to fraction form
    603,097/905,060.22 = 209,113/x
  3. Step 3: Cross multiply
    603,097x = 905,060.22 × 209,113
  4. Step 4: Simplify right side
    603,097x = 189,259,857,784.86
  5. Step 5: Solve for x
    x = 189,259,857,784.86/603,097
  6. Step 6: Final answer
    x = 313,813.30

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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.