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Finding the Fourth Proportional to 374,893.82, 517,352.91 and 205,127.90

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Solution

The fourth proportional to 374,893.82, 517,352.91 and 205,127.90 is: 283,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,893.82 : 517,352.91 = 205,127.90 : x
  2. Step 2: Convert to fraction form
    374,893.82/517,352.91 = 205,127.90/x
  3. Step 3: Cross multiply
    374,893.82x = 517,352.91 × 205,127.90
  4. Step 4: Simplify right side
    374,893.82x = 106,123,515,987.19
  5. Step 5: Solve for x
    x = 106,123,515,987.19/374,893.82
  6. Step 6: Final answer
    x = 283,076.19

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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.