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Finding the Fourth Proportional to 375,558.81, 518,254.25 and 205,789.29

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Solution

The fourth proportional to 375,558.81, 518,254.25 and 205,789.29 is: 283,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,558.81 : 518,254.25 = 205,789.29 : x
  2. Step 2: Convert to fraction form
    375,558.81/518,254.25 = 205,789.29/x
  3. Step 3: Cross multiply
    375,558.81x = 518,254.25 × 205,789.29
  4. Step 4: Simplify right side
    375,558.81x = 106,651,173,118.04
  5. Step 5: Solve for x
    x = 106,651,173,118.04/375,558.81
  6. Step 6: Final answer
    x = 283,979.95

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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.