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Finding the Fourth Proportional to 375,420.67, 518,093.46 and 205,654.79

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Solution

The fourth proportional to 375,420.67, 518,093.46 and 205,654.79 is: 283,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,420.67 : 518,093.46 = 205,654.79 : x
  2. Step 2: Convert to fraction form
    375,420.67/518,093.46 = 205,654.79/x
  3. Step 3: Cross multiply
    375,420.67x = 518,093.46 × 205,654.79
  4. Step 4: Simplify right side
    375,420.67x = 106,548,403,011.91
  5. Step 5: Solve for x
    x = 106,548,403,011.91/375,420.67
  6. Step 6: Final answer
    x = 283,810.70

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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.