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Finding the Fourth Proportional to 617,757.77, 852,499.20 and 345,827.90

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Solution

The fourth proportional to 617,757.77, 852,499.20 and 345,827.90 is: 477,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,757.77 : 852,499.20 = 345,827.90 : x
  2. Step 2: Convert to fraction form
    617,757.77/852,499.20 = 345,827.90/x
  3. Step 3: Cross multiply
    617,757.77x = 852,499.20 × 345,827.90
  4. Step 4: Simplify right side
    617,757.77x = 294,818,005,122.04
  5. Step 5: Solve for x
    x = 294,818,005,122.04/617,757.77
  6. Step 6: Final answer
    x = 477,238.85

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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.