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Finding the Fourth Proportional to 375,109.73, 517,651.43 and 205,343.86

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Solution

The fourth proportional to 375,109.73, 517,651.43 and 205,343.86 is: 283,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,109.73 : 517,651.43 = 205,343.86 : x
  2. Step 2: Convert to fraction form
    375,109.73/517,651.43 = 205,343.86/x
  3. Step 3: Cross multiply
    375,109.73x = 517,651.43 × 205,343.86
  4. Step 4: Simplify right side
    375,109.73x = 106,296,543,153.06
  5. Step 5: Solve for x
    x = 106,296,543,153.06/375,109.73
  6. Step 6: Final answer
    x = 283,374.53

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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.