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Finding the Fourth Proportional to 375,277.82, 517,883.64 and 203,195.90

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Solution

The fourth proportional to 375,277.82, 517,883.64 and 203,195.90 is: 280,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,277.82 : 517,883.64 = 203,195.90 : x
  2. Step 2: Convert to fraction form
    375,277.82/517,883.64 = 203,195.90/x
  3. Step 3: Cross multiply
    375,277.82x = 517,883.64 × 203,195.90
  4. Step 4: Simplify right side
    375,277.82x = 105,231,829,735.66
  5. Step 5: Solve for x
    x = 105,231,829,735.66/375,277.82
  6. Step 6: Final answer
    x = 280,410.47

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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.