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Finding the Fourth Proportional to 617,221.84, 851,847.96 and 345,394.48

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Solution

The fourth proportional to 617,221.84, 851,847.96 and 345,394.48 is: 476,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,221.84 : 851,847.96 = 345,394.48 : x
  2. Step 2: Convert to fraction form
    617,221.84/851,847.96 = 345,394.48/x
  3. Step 3: Cross multiply
    617,221.84x = 851,847.96 × 345,394.48
  4. Step 4: Simplify right side
    617,221.84x = 294,223,583,183.26
  5. Step 5: Solve for x
    x = 294,223,583,183.26/617,221.84
  6. Step 6: Final answer
    x = 476,690.17

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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.