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Finding the Fourth Proportional to 375,754.60, 518,561.22 and 205,995.88

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Solution

The fourth proportional to 375,754.60, 518,561.22 and 205,995.88 is: 284,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,754.60 : 518,561.22 = 205,995.88 : x
  2. Step 2: Convert to fraction form
    375,754.60/518,561.22 = 205,995.88/x
  3. Step 3: Cross multiply
    375,754.60x = 518,561.22 × 205,995.88
  4. Step 4: Simplify right side
    375,754.60x = 106,821,474,847.77
  5. Step 5: Solve for x
    x = 106,821,474,847.77/375,754.60
  6. Step 6: Final answer
    x = 284,285.21

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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.