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Finding the Fourth Proportional to 603,100, 905,064.72 and 209,116

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Solution

The fourth proportional to 603,100, 905,064.72 and 209,116 is: 313,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,100 : 905,064.72 = 209,116 : x
  2. Step 2: Convert to fraction form
    603,100/905,064.72 = 209,116/x
  3. Step 3: Cross multiply
    603,100x = 905,064.72 × 209,116
  4. Step 4: Simplify right side
    603,100x = 189,263,513,987.52
  5. Step 5: Solve for x
    x = 189,263,513,987.52/603,100
  6. Step 6: Final answer
    x = 313,817.80

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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.