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Finding the Fourth Proportional to 375,418.82, 518,072.82 and 205,654.16

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Solution

The fourth proportional to 375,418.82, 518,072.82 and 205,654.16 is: 283,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,418.82 : 518,072.82 = 205,654.16 : x
  2. Step 2: Convert to fraction form
    375,418.82/518,072.82 = 205,654.16/x
  3. Step 3: Cross multiply
    375,418.82x = 518,072.82 × 205,654.16
  4. Step 4: Simplify right side
    375,418.82x = 106,543,830,615.93
  5. Step 5: Solve for x
    x = 106,543,830,615.93/375,418.82
  6. Step 6: Final answer
    x = 283,799.92

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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.