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Finding the Fourth Proportional to 258,898.11, 357,207.21 and 166,978.50

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Solution

The fourth proportional to 258,898.11, 357,207.21 and 166,978.50 is: 230,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,898.11 : 357,207.21 = 166,978.50 : x
  2. Step 2: Convert to fraction form
    258,898.11/357,207.21 = 166,978.50/x
  3. Step 3: Cross multiply
    258,898.11x = 357,207.21 × 166,978.50
  4. Step 4: Simplify right side
    258,898.11x = 59,645,924,114.99
  5. Step 5: Solve for x
    x = 59,645,924,114.99/258,898.11
  6. Step 6: Final answer
    x = 230,383.78

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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.