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Finding the Fourth Proportional to 617,865.97, 852,582.12 and 356,218.34

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Solution

The fourth proportional to 617,865.97, 852,582.12 and 356,218.34 is: 491,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,865.97 : 852,582.12 = 356,218.34 : x
  2. Step 2: Convert to fraction form
    617,865.97/852,582.12 = 356,218.34/x
  3. Step 3: Cross multiply
    617,865.97x = 852,582.12 × 356,218.34
  4. Step 4: Simplify right side
    617,865.97x = 303,705,383,237.17
  5. Step 5: Solve for x
    x = 303,705,383,237.17/617,865.97
  6. Step 6: Final answer
    x = 491,539.27

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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.