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Finding the Fourth Proportional to 378,902.90, 522,890.34 and 209,137.16

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Solution

The fourth proportional to 378,902.90, 522,890.34 and 209,137.16 is: 288,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,902.90 : 522,890.34 = 209,137.16 : x
  2. Step 2: Convert to fraction form
    378,902.90/522,890.34 = 209,137.16/x
  3. Step 3: Cross multiply
    378,902.90x = 522,890.34 × 209,137.16
  4. Step 4: Simplify right side
    378,902.90x = 109,355,800,699.03
  5. Step 5: Solve for x
    x = 109,355,800,699.03/378,902.90
  6. Step 6: Final answer
    x = 288,611.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.