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Finding the Fourth Proportional to 617,188.92, 851,680.50 and 345,209.64

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Solution

The fourth proportional to 617,188.92, 851,680.50 and 345,209.64 is: 476,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,188.92 : 851,680.50 = 345,209.64 : x
  2. Step 2: Convert to fraction form
    617,188.92/851,680.50 = 345,209.64/x
  3. Step 3: Cross multiply
    617,188.92x = 851,680.50 × 345,209.64
  4. Step 4: Simplify right side
    617,188.92x = 294,008,318,800.02
  5. Step 5: Solve for x
    x = 294,008,318,800.02/617,188.92
  6. Step 6: Final answer
    x = 476,366.81

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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.