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Finding the Fourth Proportional to 617,906.68, 852,513.06 and 345,934.60

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Solution

The fourth proportional to 617,906.68, 852,513.06 and 345,934.60 is: 477,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,906.68 : 852,513.06 = 345,934.60 : x
  2. Step 2: Convert to fraction form
    617,906.68/852,513.06 = 345,934.60/x
  3. Step 3: Cross multiply
    617,906.68x = 852,513.06 × 345,934.60
  4. Step 4: Simplify right side
    617,906.68x = 294,913,764,405.88
  5. Step 5: Solve for x
    x = 294,913,764,405.88/617,906.68
  6. Step 6: Final answer
    x = 477,278.81

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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.