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Finding the Fourth Proportional to 617,757.45, 852,498.77 and 345,827.58

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Solution

The fourth proportional to 617,757.45, 852,498.77 and 345,827.58 is: 477,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,757.45 : 852,498.77 = 345,827.58 : x
  2. Step 2: Convert to fraction form
    617,757.45/852,498.77 = 345,827.58/x
  3. Step 3: Cross multiply
    617,757.45x = 852,498.77 × 345,827.58
  4. Step 4: Simplify right side
    617,757.45x = 294,817,589,577.89
  5. Step 5: Solve for x
    x = 294,817,589,577.89/617,757.45
  6. Step 6: Final answer
    x = 477,238.42

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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.