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Finding the Fourth Proportional to 375,169.86, 517,734.42 and 205,404

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Solution

The fourth proportional to 375,169.86, 517,734.42 and 205,404 is: 283,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,169.86 : 517,734.42 = 205,404 : x
  2. Step 2: Convert to fraction form
    375,169.86/517,734.42 = 205,404/x
  3. Step 3: Cross multiply
    375,169.86x = 517,734.42 × 205,404
  4. Step 4: Simplify right side
    375,169.86x = 106,344,720,805.68
  5. Step 5: Solve for x
    x = 106,344,720,805.68/375,169.86
  6. Step 6: Final answer
    x = 283,457.53

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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.