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Finding the Fourth Proportional to 258,902.21, 357,212.85 and 166,982.60

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Solution

The fourth proportional to 258,902.21, 357,212.85 and 166,982.60 is: 230,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,902.21 : 357,212.85 = 166,982.60 : x
  2. Step 2: Convert to fraction form
    258,902.21/357,212.85 = 166,982.60/x
  3. Step 3: Cross multiply
    258,902.21x = 357,212.85 × 166,982.60
  4. Step 4: Simplify right side
    258,902.21x = 59,648,328,660.35
  5. Step 5: Solve for x
    x = 59,648,328,660.35/258,902.21
  6. Step 6: Final answer
    x = 230,389.42

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1.5x scale

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.