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Finding the Fourth Proportional to 375,431.70, 518,108.64 and 205,665.78

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Solution

The fourth proportional to 375,431.70, 518,108.64 and 205,665.78 is: 283,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,431.70 : 518,108.64 = 205,665.78 : x
  2. Step 2: Convert to fraction form
    375,431.70/518,108.64 = 205,665.78/x
  3. Step 3: Cross multiply
    375,431.70x = 518,108.64 × 205,665.78
  4. Step 4: Simplify right side
    375,431.70x = 106,557,217,570.34
  5. Step 5: Solve for x
    x = 106,557,217,570.34/375,431.70
  6. Step 6: Final answer
    x = 283,825.84

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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.