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Finding the Fourth Proportional to 375,685.56, 518,455.08 and 205,929

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Solution

The fourth proportional to 375,685.56, 518,455.08 and 205,929 is: 284,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,685.56 : 518,455.08 = 205,929 : x
  2. Step 2: Convert to fraction form
    375,685.56/518,455.08 = 205,929/x
  3. Step 3: Cross multiply
    375,685.56x = 518,455.08 × 205,929
  4. Step 4: Simplify right side
    375,685.56x = 106,764,936,169.32
  5. Step 5: Solve for x
    x = 106,764,936,169.32/375,685.56
  6. Step 6: Final answer
    x = 284,186.96

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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.