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Finding the Fourth Proportional to 617,208.92, 851,708.10 and 345,229.64

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Solution

The fourth proportional to 617,208.92, 851,708.10 and 345,229.64 is: 476,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,208.92 : 851,708.10 = 345,229.64 : x
  2. Step 2: Convert to fraction form
    617,208.92/851,708.10 = 345,229.64/x
  3. Step 3: Cross multiply
    617,208.92x = 851,708.10 × 345,229.64
  4. Step 4: Simplify right side
    617,208.92x = 294,034,880,748.08
  5. Step 5: Solve for x
    x = 294,034,880,748.08/617,208.92
  6. Step 6: Final answer
    x = 476,394.41

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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.