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Finding the Fourth Proportional to 617,209.92, 851,709.48 and 345,230.64

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Solution

The fourth proportional to 617,209.92, 851,709.48 and 345,230.64 is: 476,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,209.92 : 851,709.48 = 345,230.64 : x
  2. Step 2: Convert to fraction form
    617,209.92/851,709.48 = 345,230.64/x
  3. Step 3: Cross multiply
    617,209.92x = 851,709.48 × 345,230.64
  4. Step 4: Simplify right side
    617,209.92x = 294,036,208,874.47
  5. Step 5: Solve for x
    x = 294,036,208,874.47/617,209.92
  6. Step 6: Final answer
    x = 476,395.79

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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.