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Finding the Fourth Proportional to 617,724.89, 852,460.68 and 345,793.31

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Solution

The fourth proportional to 617,724.89, 852,460.68 and 345,793.31 is: 477,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,724.89 : 852,460.68 = 345,793.31 : x
  2. Step 2: Convert to fraction form
    617,724.89/852,460.68 = 345,793.31/x
  3. Step 3: Cross multiply
    617,724.89x = 852,460.68 × 345,793.31
  4. Step 4: Simplify right side
    617,724.89x = 294,775,195,919.75
  5. Step 5: Solve for x
    x = 294,775,195,919.75/617,724.89
  6. Step 6: Final answer
    x = 477,194.95

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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.