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Finding the Fourth Proportional to 617,694.06, 852,378.30 and 345,716.22

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Solution

The fourth proportional to 617,694.06, 852,378.30 and 345,716.22 is: 477,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,694.06 : 852,378.30 = 345,716.22 : x
  2. Step 2: Convert to fraction form
    617,694.06/852,378.30 = 345,716.22/x
  3. Step 3: Cross multiply
    617,694.06x = 852,378.30 × 345,716.22
  4. Step 4: Simplify right side
    617,694.06x = 294,681,003,886.03
  5. Step 5: Solve for x
    x = 294,681,003,886.03/617,694.06
  6. Step 6: Final answer
    x = 477,066.27

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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.